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 59025 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
2.0.312311.1	$x^{2} - x + 78078$	$2$	[0,1]	$-\,312311$	$1$	$558.847922068$	$558.8479220682493$	✓	✓	✓	$C_2$ (as 2T1)	$[1001]$	$2$	$1$
2.0.321551.1	$x^{2} - x + 80388$	$2$	[0,1]	$-\,53\cdot 6067$	$2$	$567.054671086$	$567.0546710856017$	✓	✓	✓	$C_2$ (as 2T1)	$[1008]$	$2$	$1$
2.0.328319.1	$x^{2} - x + 82080$	$2$	[0,1]	$-\,397\cdot 827$	$2$	$572.99127393$	$572.9912739300661$	✓	✓	✓	$C_2$ (as 2T1)	$[1024]$	$2$	$1$
2.0.329111.1	$x^{2} - x + 82278$	$2$	[0,1]	$-\,329111$	$1$	$573.681967644$	$573.6819676440946$	✓	✓	✓	$C_2$ (as 2T1)	$[1007]$	$2$	$1$
2.0.331679.1	$x^{2} - x + 82920$	$2$	[0,1]	$-\,47\cdot 7057$	$2$	$575.915792456$	$575.9157924558068$	✓	✓	✓	$C_2$ (as 2T1)	$[1048]$	$2$	$1$
2.0.333791.1	$x^{2} - x + 83448$	$2$	[0,1]	$-\,333791$	$1$	$577.746484195$	$577.746484195274$	✓	✓	✓	$C_2$ (as 2T1)	$[1033]$	$2$	$1$
2.0.341039.1	$x^{2} - x + 85260$	$2$	[0,1]	$-\,257\cdot 1327$	$2$	$583.985445024$	$583.9854450241033$	✓	✓	✓	$C_2$ (as 2T1)	$[1012]$	$2$	$1$
2.0.344231.1	$x^{2} - x + 86058$	$2$	[0,1]	$-\,344231$	$1$	$586.712024762$	$586.7120247617224$	✓	✓	✓	$C_2$ (as 2T1)	$[1003]$	$2$	$1$
2.0.344951.1	$x^{2} - x + 86238$	$2$	[0,1]	$-\,37\cdot 9323$	$2$	$587.325293172$	$587.3252931723612$	✓	✓	✓	$C_2$ (as 2T1)	$[1008]$	$2$	$1$
2.0.346631.1	$x^{2} - x + 86658$	$2$	[0,1]	$-\,251\cdot 1381$	$2$	$588.753768565$	$588.7537685654335$	✓	✓	✓	$C_2$ (as 2T1)	$[1054]$	$2$	$1$
2.0.347399.1	$x^{2} - x + 86850$	$2$	[0,1]	$-\,13\cdot 26723$	$2$	$589.40563282$	$589.4056328200469$	✓	✓	✓	$C_2$ (as 2T1)	$[1014]$	$2$	$1$
2.0.349439.1	$x^{2} - x + 87360$	$2$	[0,1]	$-\,23\cdot 15193$	$2$	$591.133656629$	$591.1336566293617$	✓	✓	✓	$C_2$ (as 2T1)	$[1028]$	$2$	$1$
2.0.350951.1	$x^{2} - x + 87738$	$2$	[0,1]	$-\,31\cdot 11321$	$2$	$592.411174776$	$592.4111747764385$	✓	✓	✓	$C_2$ (as 2T1)	$[1010]$	$2$	$1$
2.0.356879.1	$x^{2} - x + 89220$	$2$	[0,1]	$-\,167\cdot 2137$	$2$	$597.393505154$	$597.3935051538475$	✓	✓	✓	$C_2$ (as 2T1)	$[1064]$	$2$	$1$
2.0.358511.1	$x^{2} - x + 89628$	$2$	[0,1]	$-\,19\cdot 18869$	$2$	$598.75788095$	$598.7578809502218$	✓	✓	✓	$C_2$ (as 2T1)	$[1062]$	$2$	$1$
2.0.358679.1	$x^{2} - x + 89670$	$2$	[0,1]	$-\,251\cdot 1429$	$2$	$598.898154948$	$598.8981549479009$	✓	✓	✓	$C_2$ (as 2T1)	$[1024]$	$2$	$1$
2.0.358991.1	$x^{2} - x + 89748$	$2$	[0,1]	$-\,29\cdot 12379$	$2$	$599.158576672$	$599.1585766723197$	✓	✓	✓	$C_2$ (as 2T1)	$[1044]$	$2$	$1$
2.0.360239.1	$x^{2} - x + 90060$	$2$	[0,1]	$-\,11\cdot 32749$	$2$	$600.199133622$	$600.1991336215007$	✓	✓	✓	$C_2$ (as 2T1)	$[1002]$	$2$	$1$
2.0.363359.1	$x^{2} - x + 90840$	$2$	[0,1]	$-\,363359$	$1$	$602.792667507$	$602.7926675068303$	✓	✓	✓	$C_2$ (as 2T1)	$[1023]$	$2$	$1$
2.0.366791.1	$x^{2} - x + 91698$	$2$	[0,1]	$-\,366791$	$1$	$605.632726989$	$605.6327269888906$	✓	✓	✓	$C_2$ (as 2T1)	$[1121]$	$2$	$1$
2.0.366911.1	$x^{2} - x + 91728$	$2$	[0,1]	$-\,17\cdot 113\cdot 191$	$3$	$605.731788831$	$605.7317888306673$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 518]$	$2$	$1$
2.0.369239.1	$x^{2} - x + 92310$	$2$	[0,1]	$-\,13\cdot 28403$	$2$	$607.650392907$	$607.650392906974$	✓	✓	✓	$C_2$ (as 2T1)	$[1002]$	$2$	$1$
2.0.369431.1	$x^{2} - x + 92358$	$2$	[0,1]	$-\,29\cdot 12739$	$2$	$607.808357955$	$607.8083579550383$	✓	✓	✓	$C_2$ (as 2T1)	$[1090]$	$2$	$1$
2.0.369599.1	$x^{2} - x + 92400$	$2$	[0,1]	$-\,61\cdot 73\cdot 83$	$3$	$607.946543703$	$607.9465437026515$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 516]$	$2$	$1$
2.0.370751.1	$x^{2} - x + 92688$	$2$	[0,1]	$-\,229\cdot 1619$	$2$	$608.893258297$	$608.89325829738$	✓	✓	✓	$C_2$ (as 2T1)	$[1052]$	$2$	$1$
2.0.370919.1	$x^{2} - x + 92730$	$2$	[0,1]	$-\,370919$	$1$	$609.031197887$	$609.0311978872675$	✓	✓	✓	$C_2$ (as 2T1)	$[1015]$	$2$	$1$
2.0.371159.1	$x^{2} - x + 92790$	$2$	[0,1]	$-\,47\cdot 53\cdot 149$	$3$	$609.228200267$	$609.2282002665339$	✓	✓	✓	$C_2$ (as 2T1)	$[4, 264]$	$2$	$1$
2.0.371279.1	$x^{2} - x + 92820$	$2$	[0,1]	$-\,19\cdot 19541$	$2$	$609.326677571$	$609.3266775712352$	✓	✓	✓	$C_2$ (as 2T1)	$[1004]$	$2$	$1$
2.0.373439.1	$x^{2} - x + 93360$	$2$	[0,1]	$-\,11\cdot 17\cdot 1997$	$3$	$611.096555382$	$611.096555382208$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 514]$	$2$	$1$
2.0.375119.1	$x^{2} - x + 93780$	$2$	[0,1]	$-\,375119$	$1$	$612.469591082$	$612.4695910818757$	✓	✓	✓	$C_2$ (as 2T1)	$[1015]$	$2$	$1$
2.0.375311.1	$x^{2} - x + 93828$	$2$	[0,1]	$-\,375311$	$1$	$612.626313506$	$612.6263135060393$	✓	✓	✓	$C_2$ (as 2T1)	$[1009]$	$2$	$1$
2.0.375359.1	$x^{2} - x + 93840$	$2$	[0,1]	$-\,375359$	$1$	$612.665487848$	$612.6654878479773$	✓	✓	✓	$C_2$ (as 2T1)	$[1101]$	$2$	$1$
2.0.376151.1	$x^{2} - x + 94038$	$2$	[0,1]	$-\,509\cdot 739$	$2$	$613.311503235$	$613.311503234694$	✓	✓	✓	$C_2$ (as 2T1)	$[1038]$	$2$	$1$
2.0.376991.1	$x^{2} - x + 94248$	$2$	[0,1]	$-\,31\cdot 12161$	$2$	$613.995928325$	$613.9959283252617$	✓	✓	✓	$C_2$ (as 2T1)	$[1116]$	$2$	$1$
2.0.377999.1	$x^{2} - x + 94500$	$2$	[0,1]	$-\,377999$	$1$	$614.816232707$	$614.8162327069773$	✓	✓	✓	$C_2$ (as 2T1)	$[1005]$	$2$	$1$
2.0.378479.1	$x^{2} - x + 94620$	$2$	[0,1]	$-\,29\cdot 31\cdot 421$	$3$	$615.206469407$	$615.2064694068163$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 554]$	$2$	$1$
2.0.378551.1	$x^{2} - x + 94638$	$2$	[0,1]	$-\,378551$	$1$	$615.264983564$	$615.2649835639926$	✓	✓	✓	$C_2$ (as 2T1)	$[1037]$	$2$	$1$
2.0.379991.1	$x^{2} - x + 94998$	$2$	[0,1]	$-\,43\cdot 8837$	$2$	$616.43410029$	$616.4341002897228$	✓	✓	✓	$C_2$ (as 2T1)	$[1034]$	$2$	$1$
2.0.380519.1	$x^{2} - x + 95130$	$2$	[0,1]	$-\,109\cdot 3491$	$2$	$616.862221246$	$616.8622212455549$	✓	✓	✓	$C_2$ (as 2T1)	$[1020]$	$2$	$1$
2.0.381359.1	$x^{2} - x + 95340$	$2$	[0,1]	$-\,11\cdot 37\cdot 937$	$3$	$617.542711073$	$617.5427110734933$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 528]$	$2$	$1$
2.0.381839.1	$x^{2} - x + 95460$	$2$	[0,1]	$-\,271\cdot 1409$	$2$	$617.931225947$	$617.9312259467068$	✓	✓	✓	$C_2$ (as 2T1)	$[1110]$	$2$	$1$
2.0.382511.1	$x^{2} - x + 95628$	$2$	[0,1]	$-\,382511$	$1$	$618.474736752$	$618.4747367516316$	✓	✓	✓	$C_2$ (as 2T1)	$[1059]$	$2$	$1$
2.0.384359.1	$x^{2} - x + 96090$	$2$	[0,1]	$-\,384359$	$1$	$619.966934602$	$619.9669346021609$	✓	✓	✓	$C_2$ (as 2T1)	$[1035]$	$2$	$1$
2.0.385271.1	$x^{2} - x + 96318$	$2$	[0,1]	$-\,17\cdot 131\cdot 173$	$3$	$620.702021907$	$620.7020219074528$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 554]$	$2$	$1$
2.0.386231.1	$x^{2} - x + 96558$	$2$	[0,1]	$-\,79\cdot 4889$	$2$	$621.474858703$	$621.4748587030693$	✓	✓	✓	$C_2$ (as 2T1)	$[1126]$	$2$	$1$
2.0.387791.1	$x^{2} - x + 96948$	$2$	[0,1]	$-\,387791$	$1$	$622.728672858$	$622.7286728584127$	✓	✓	✓	$C_2$ (as 2T1)	$[1053]$	$2$	$1$
2.0.389639.1	$x^{2} - x + 97410$	$2$	[0,1]	$-\,31\cdot 12569$	$2$	$624.210701606$	$624.2107016064367$	✓	✓	✓	$C_2$ (as 2T1)	$[1060]$	$2$	$1$
2.0.392279.1	$x^{2} - x + 98070$	$2$	[0,1]	$-\,392279$	$1$	$626.321802271$	$626.3218022710051$	✓	✓	✓	$C_2$ (as 2T1)	$[1075]$	$2$	$1$
2.0.392999.1	$x^{2} - x + 98250$	$2$	[0,1]	$-\,59\cdot 6661$	$2$	$626.896323167$	$626.8963231667577$	✓	✓	✓	$C_2$ (as 2T1)	$[1080]$	$2$	$1$
2.0.393599.1	$x^{2} - x + 98400$	$2$	[0,1]	$-\,23\cdot 109\cdot 157$	$3$	$627.374688683$	$627.3746886829273$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 514]$	$2$	$1$

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Elliptic curves over $\Q$
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.