curve #6465

y² + xy + y = x³ − 3730981188685031943431033x + 2714804535675820959350702136679471472

a-invariants: [1, 0, 1, -3730981188685031943431033, 2714804535675820959350702136679471472]
c-invariants: [179087097056881533284689561, -2345591118824177939524591968390990386365]
rank (lower bound): ≥ 20
torsion subgroup: trivial
conductor (N): 1479954363511852888315487945334438731456114513231672621533648802574
discriminant (Δ): 139998499988040264725830278789853342791310873638690892679562565885393785852
Faltings height: 13.0115
naive height: 181.3497
primes of bad reduction: 2, 3, 89, 2771450118936054097969078549315428336060139537887027381149155061
regulator: 22708306487495103552.3931867330817524700616808029590312448044849880071007105453
submitted by: apkorte
submitted at: 2026-11-04 00:50:16 UTC
last updated: 2026-11-04 00:50:16 UTC

(1295231581461, -235016726466261080)
(362410485555, -1187542735202179424)
(1500556000359/4, 9356787762777745085/8)
(43772743054461/25, 155620157427953788376/125)
(321741445476, -1244065731346412372)
(-4602316120179/16, 124169940843427208347/64)
(100042840101306/49, 651526659121371894034/343)
(1758222540345, -1261026021947638052)
(957383290899, -142641677405758448)
(-1803979572252, 1890675744323163631)
(1621691894901, 963931305812736328)
(3284140700874, -5087545262555382002)
(1329418890528, -322990195156585904)
(165489451923, -1449792731130060080)
(47819774444304/49, -19270538066273327840/343)
(1247602373184, 43945003838876047)
(1399355403654, 483783722038067362)
(7080573144009, -18201059203221141428)
(879040503606, -338181279006934505)
(-3689890754935659/2704, 322634216043163085561989/140608)

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