curve #1944

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y² = x³ − 15022328847680060421637621760527x + 21283701096908379124596522294988789980353280946

a-invariants

[0, 0, 0, -15022328847680060421637621760527, 21283701096908379124596522294988789980353280946]

rank (lower bound)

≥ 23

torsion subgroup

trivial

conductor (N)

7768250391131548552937198985477910674978037771673269485020901692030144704380736968920

discriminant (Δ)

21271800046035519402507931981934162801292360830172913830832735103286145244005772041993636000000

Faltings height

16.8543

naive height

226.9749

primes of bad reduction

2, 5, 139, 197, 172755619789760254243, 977643511623719617754237, 41992283473267014699974798858787791

regulator

1326397870872867320824071.47419325319874003113936588868297071281167668421496512264698

submitted by

Ritik Jain

submitted at

2026-09-25 20:01:10 UTC

later contributions

primes of bad reduction recorded · Daniel Błażewicz · 2026-09-25 20:04:22 UTC

Witness: 23 independent points log in to add more points →

(186127510791319018898417569378194203653/49339009957400369892009, -1482518867663658709619896613120408629727798802791046858010/10959371426511456121419268436079723)
(99628010329894113/64, -20928914992769247369133265/512)
(33017533985528572297/30976, -438938549940309031212688530725/5451776)
(11608066954616913/4, -369091341476468066588225/8)
(-140535788461973916183/55696, 2729569424195171717756163311755/13144256)
(150788834564441231, 58534459296966199296739040)
(5332386090619113/4, -481769694507451997000125/8)
(5417434884883313/4, 468007681565317238392975/8)
(3611613737227297, -118902700673131213260550)
(137327995262477947/81, 19121818139456184414046360/729)
(405410634390574200867/52441, -7276908711819405752686177351840/12008989)
(58062907572455620602793/19210689, 4974157078960340321682951426363170/84200449887)
(291505932502118937/196, 129614385225479515694772475/2744)
(115332645532832640853/1369, -1237302883760334373136714550070/50653)
(277300257629932905/256, 324655730242388036524241099/4096)
(-1070488415818941923/441, 1930334855675617131247872350/9261)
(-14741587498232532863/69696, 2877172358643286289020013139775/18399744)
(-1249542725121838634352676777047382315943/2324520956989283653809796, 605645382289039027625757205411865562187344331177872797868005/3544052926368911489935516937423294344)
(41604380142354108077656454720779759965525733/13708233967089765384627915969, 96924635405377400879833118183046218001464723329285326619845650570/1604989746669454368662680281286407854065953)
(14690918237352075051788984880655468181998257/5254144975423035754057351801, 12858113572245860971283759394384340052619048567646444106277081910/380849226498415193391577313157609789913549)
(-14831633561148970583641101102153184643156811573/3497709764283091357732466475841, 611493047396615755863715584159449661706952014643628301199623067786200/6541474520303287032307700350971513023287780639)
(231382151870573412252522446546857387769103/131646866442690882237464449, 26593774725264763653703438308603950672055288049595513995685600/1510482817236229437467442956858092443457)
(118517889995305941049869444136358893238322822507/76631241647133278606784787223281, 28059301351581729554387020222261184097927076497223874634435125460475600/670824311606074410459760808304841398921008726071)

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