curve #6425

y² + xy + y = x³ − 6364845527510444147071287373x + 202700105013497783600681905930438156190756

a-invariants: [1, 0, 1, -6364845527510444147071287373, 202700105013497783600681905930438156190756]
c-invariants: [305512585320501319059421793881, -175132890731662543299867147475877156081504221]
rank (lower bound): ≥ 21
torsion subgroup: trivial
conductor (N): 1685894917772498745439716825985460044183068127816125516868825986270
discriminant (Δ): -1247461876467361770943013014932072924649330534025497380810224037506922736537032187500
Faltings height: 14.9018
naive height: 203.7482
primes of bad reduction: 2, 3, 5, 7, 11, 37, 43, 83, 1039, 34905317807, 58227650169379, 373883071072845901967893430381
regulator: 13583232622406442438.883092588593946773549310346160036756509388333408421348152811
submitted by: apkorte
submitted at: 2026-11-02 18:47:22 UTC
last updated: 2026-11-02 18:47:22 UTC

(-73111621776980, -526535865864150801973)
(49229564767825, -93122760280518465478)
(48167179465465, 88741296674769769052)
(-1115304423328070/169, -1086165027780017797943206/2197)
(10663575623634805/169, 502470851992482700207544/2197)
(-29074490278025, -602641937448932306848)
(-78195359233190, 471460379589866707202)
(75790235079145, -394535439049373378548)
(35855080445020, -143467347003989793973)
(183609923637970, -2285611598717057162173)
(25209795978057, 241382102727685665994)
(100874447022325, 766233144252310052522)
(786238383681655/4, 20467872587124105831241/8)
(49876444112065, 96539405563462553882)
(-29144880274355/16, 29626399686904040761553/64)
(204057959879755/4, 830030313061742114491/8)
(7862807722228321/256, 779144385709010145514439/4096)
(1724948840449403020/19321, -1579872441228967247990604712/2685619)
(59357679927375, -184484671663944791348)
(50443457348470, -99954047658470648173)
(81608229632920, 476213393193901331627)

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