LMFDB - Number field search results

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Degree	Signature	Class number	Class group structure	CM field

Ramified prime count	Ramified	Unramified primes	Galois group	Galois

Discriminant	Root discriminant	Galois root discriminant	Regulator	Intermediate field

$p$-adic completions	Minimal sibling	Monogenic	Index	Ines. $p$

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Results (1-50 of 214857 matches)

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Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	Galois root discriminant	CM field	Galois	Monogenic	Galois group	Class group	Unit group torsion	Regulator
2.0.231.1	$x^{2} - x + 58$	$2$	[0,1]	$-\,3\cdot 7\cdot 11$	$3$	$15.1986841536$	$15.198684153570664$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.255.1	$x^{2} - x + 64$	$2$	[0,1]	$-\,3\cdot 5\cdot 17$	$3$	$15.9687194227$	$15.968719422671311$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.327.1	$x^{2} - x + 82$	$2$	[0,1]	$-\,3\cdot 109$	$2$	$18.08314132$	$18.083141320025124$	✓	✓	✓	$C_2$ (as 2T1)	$[12]$	$2$	$1$
2.0.356.1	$x^{2} + 89$	$2$	[0,1]	$-\,2^{2}\cdot 89$	$2$	$18.8679622641$	$18.867962264113206$	✓	✓	✓	$C_2$ (as 2T1)	$[12]$	$2$	$1$
2.0.440.1	$x^{2} + 110$	$2$	[0,1]	$-\,2^{3}\cdot 5\cdot 11$	$3$	$20.9761769634$	$20.97617696340303$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.516.1	$x^{2} + 129$	$2$	[0,1]	$-\,2^{2}\cdot 3\cdot 43$	$3$	$22.7156333832$	$22.715633383201094$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.543.1	$x^{2} - x + 136$	$2$	[0,1]	$-\,3\cdot 181$	$2$	$23.3023603955$	$23.302360395462088$	✓	✓	✓	$C_2$ (as 2T1)	$[12]$	$2$	$1$
2.0.655.1	$x^{2} - x + 164$	$2$	[0,1]	$-\,5\cdot 131$	$2$	$25.5929677841$	$25.592967784139454$	✓	✓	✓	$C_2$ (as 2T1)	$[12]$	$2$	$1$
2.0.680.1	$x^{2} + 170$	$2$	[0,1]	$-\,2^{3}\cdot 5\cdot 17$	$3$	$26.0768096208$	$26.076809620810597$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.687.1	$x^{2} - x + 172$	$2$	[0,1]	$-\,3\cdot 229$	$2$	$26.2106848442$	$26.210684844162312$	✓	✓	✓	$C_2$ (as 2T1)	$[12]$	$2$	$1$
2.0.696.1	$x^{2} + 174$	$2$	[0,1]	$-\,2^{3}\cdot 3\cdot 29$	$3$	$26.3818119165$	$26.38181191654584$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.728.1	$x^{2} + 182$	$2$	[0,1]	$-\,2^{3}\cdot 7\cdot 13$	$3$	$26.9814751265$	$26.981475126464083$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.731.1	$x^{2} - x + 183$	$2$	[0,1]	$-\,17\cdot 43$	$2$	$27.0370116692$	$27.03701166919155$	✓	✓	✓	$C_2$ (as 2T1)	$[12]$	$2$	$1$
2.0.744.1	$x^{2} + 186$	$2$	[0,1]	$-\,2^{3}\cdot 3\cdot 31$	$3$	$27.276363394$	$27.27636339397171$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.755.1	$x^{2} - x + 189$	$2$	[0,1]	$-\,5\cdot 151$	$2$	$27.4772633281$	$27.477263328068172$	✓	✓	✓	$C_2$ (as 2T1)	$[12]$	$2$	$1$
2.0.804.1	$x^{2} + 201$	$2$	[0,1]	$-\,2^{2}\cdot 3\cdot 67$	$3$	$28.3548937575$	$28.35489375751565$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.888.1	$x^{2} + 222$	$2$	[0,1]	$-\,2^{3}\cdot 3\cdot 37$	$3$	$29.7993288515$	$29.79932885150268$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.932.1	$x^{2} + 233$	$2$	[0,1]	$-\,2^{2}\cdot 233$	$2$	$30.5286750449$	$30.528675044947494$	✓	✓	✓	$C_2$ (as 2T1)	$[12]$	$2$	$1$
2.0.948.1	$x^{2} + 237$	$2$	[0,1]	$-\,2^{2}\cdot 3\cdot 79$	$3$	$30.7896086367$	$30.789608636681304$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.964.1	$x^{2} + 241$	$2$	[0,1]	$-\,2^{2}\cdot 241$	$2$	$31.0483493925$	$31.04834939252005$	✓	✓	✓	$C_2$ (as 2T1)	$[12]$	$2$	$1$
2.0.984.1	$x^{2} + 246$	$2$	[0,1]	$-\,2^{3}\cdot 3\cdot 41$	$3$	$31.3687742827$	$31.368774282716245$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.996.1	$x^{2} + 249$	$2$	[0,1]	$-\,2^{2}\cdot 3\cdot 83$	$3$	$31.5594676761$	$31.559467676119$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.1011.1	$x^{2} - x + 253$	$2$	[0,1]	$-\,3\cdot 337$	$2$	$31.7962261912$	$31.796226191169293$	✓	✓	✓	$C_2$ (as 2T1)	$[12]$	$2$	$1$
2.0.1067.1	$x^{2} - x + 267$	$2$	[0,1]	$-\,11\cdot 97$	$2$	$32.6649659421$	$32.66496594212215$	✓	✓	✓	$C_2$ (as 2T1)	$[12]$	$2$	$1$
2.0.1096.1	$x^{2} + 274$	$2$	[0,1]	$-\,2^{3}\cdot 137$	$2$	$33.1058907145$	$33.1058907144937$	✓	✓	✓	$C_2$ (as 2T1)	$[12]$	$2$	$1$
2.0.1144.1	$x^{2} + 286$	$2$	[0,1]	$-\,2^{3}\cdot 11\cdot 13$	$3$	$33.8230690506$	$33.823069050575526$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.1208.1	$x^{2} + 302$	$2$	[0,1]	$-\,2^{3}\cdot 151$	$2$	$34.756294394$	$34.75629439396553$	✓	✓	✓	$C_2$ (as 2T1)	$[12]$	$2$	$1$
2.0.1235.1	$x^{2} - x + 309$	$2$	[0,1]	$-\,5\cdot 13\cdot 19$	$3$	$35.1425667816$	$35.14256678161116$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.1236.1	$x^{2} + 309$	$2$	[0,1]	$-\,2^{2}\cdot 3\cdot 103$	$3$	$35.1567916625$	$35.156791662493895$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.1255.1	$x^{2} - x + 314$	$2$	[0,1]	$-\,5\cdot 251$	$2$	$35.4259791678$	$35.4259791678367$	✓	✓	✓	$C_2$ (as 2T1)	$[12]$	$2$	$1$
2.0.1272.1	$x^{2} + 318$	$2$	[0,1]	$-\,2^{3}\cdot 3\cdot 53$	$3$	$35.6651090003$	$35.66510900025401$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.1336.1	$x^{2} + 334$	$2$	[0,1]	$-\,2^{3}\cdot 167$	$2$	$36.551333765$	$36.55133376499413$	✓	✓	✓	$C_2$ (as 2T1)	$[12]$	$2$	$1$
2.0.1355.1	$x^{2} - x + 339$	$2$	[0,1]	$-\,5\cdot 271$	$2$	$36.8103246386$	$36.810324638611924$	✓	✓	✓	$C_2$ (as 2T1)	$[12]$	$2$	$1$
2.0.1371.1	$x^{2} - x + 343$	$2$	[0,1]	$-\,3\cdot 457$	$2$	$37.0270171631$	$37.027017163147235$	✓	✓	✓	$C_2$ (as 2T1)	$[12]$	$2$	$1$
2.0.1419.1	$x^{2} - x + 355$	$2$	[0,1]	$-\,3\cdot 11\cdot 43$	$3$	$37.6696164037$	$37.66961640367472$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.1464.1	$x^{2} + 366$	$2$	[0,1]	$-\,2^{3}\cdot 3\cdot 61$	$3$	$38.2622529394$	$38.262252939417984$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.1480.1	$x^{2} + 370$	$2$	[0,1]	$-\,2^{3}\cdot 5\cdot 37$	$3$	$38.4707681233$	$38.47076812334269$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.1491.1	$x^{2} - x + 373$	$2$	[0,1]	$-\,3\cdot 7\cdot 71$	$3$	$38.6134691526$	$38.61346915261564$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.1515.1	$x^{2} - x + 379$	$2$	[0,1]	$-\,3\cdot 5\cdot 101$	$3$	$38.9230009121$	$38.92300091205713$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.1547.1	$x^{2} - x + 387$	$2$	[0,1]	$-\,7\cdot 13\cdot 17$	$3$	$39.3319208786$	$39.331920878594275$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.1572.1	$x^{2} + 393$	$2$	[0,1]	$-\,2^{2}\cdot 3\cdot 131$	$3$	$39.6484552032$	$39.64845520319802$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.1668.1	$x^{2} + 417$	$2$	[0,1]	$-\,2^{2}\cdot 3\cdot 139$	$3$	$40.8411557133$	$40.84115571332428$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.1720.1	$x^{2} + 430$	$2$	[0,1]	$-\,2^{3}\cdot 5\cdot 43$	$3$	$41.4728827067$	$41.47288270665544$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.1732.1	$x^{2} + 433$	$2$	[0,1]	$-\,2^{2}\cdot 433$	$2$	$41.6173040934$	$41.617304093369626$	✓	✓	✓	$C_2$ (as 2T1)	$[12]$	$2$	$1$
2.0.1763.1	$x^{2} - x + 441$	$2$	[0,1]	$-\,41\cdot 43$	$2$	$41.9880935504$	$41.98809355043403$	✓	✓	✓	$C_2$ (as 2T1)	$[12]$	$2$	$1$
2.0.1807.1	$x^{2} - x + 452$	$2$	[0,1]	$-\,13\cdot 139$	$2$	$42.5088226137$	$42.50882261366456$	✓	✓	✓	$C_2$ (as 2T1)	$[12]$	$2$	$1$
2.0.1812.1	$x^{2} + 453$	$2$	[0,1]	$-\,2^{2}\cdot 3\cdot 151$	$3$	$42.5675933076$	$42.567593307585526$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.1892.1	$x^{2} + 473$	$2$	[0,1]	$-\,2^{2}\cdot 11\cdot 43$	$3$	$43.4971263419$	$43.497126341863094$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.1955.1	$x^{2} - x + 489$	$2$	[0,1]	$-\,5\cdot 17\cdot 23$	$3$	$44.2153819389$	$44.21538193886829$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$
2.0.1972.1	$x^{2} + 493$	$2$	[0,1]	$-\,2^{2}\cdot 17\cdot 29$	$3$	$44.4072066223$	$44.40720662234904$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	$1$

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Elliptic curves over $\Q$
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