curve #6483

y² + xy + y = x³ − x² − 3846946310050315135397612x + 2941826245800110039488664072542943855

a-invariants: [1, -1, 1, -3846946310050315135397612, 2941826245800110039488664072542943855]
c-invariants: [184653422882415126499085361, -2541737876370464133715234890607857606825]
rank (lower bound): ≥ 19
torsion subgroup: trivial
conductor (N): 200093998432878995126377480279915787390915906724061196922
discriminant (Δ): -95095263391774123004500270275127688984208642290225427912658935366154395648
Faltings height: 12.9981
naive height: 181.4673
primes of bad reduction: 2, 3, 7, 11, 17, 47, 7180311399114684450859, 25164063578717361166912877797
regulator: 23393809407303206.67785334573196057692620209610150924924482376728518877406025
submitted by: apkorte
submitted at: 2026-11-04 03:44:16 UTC
last updated: 2026-11-04 03:44:16 UTC

(-2030181037899, -1544070997944736139)
(4897326641151/4, 2073007478951709275/8)
(1467571472661, -675991240274099243)
(5266619445381, 11347381392456223621)
(961040521119, -363828614834676485)
(1657071753169, 1057019334516722545)
(1650761997717, -1043928486129572075)
(776308485169, 650580327808395645)
(1382531148831, 515618008733650021)
(-2141624643843, 1165273425431969437)
(25891794101901/25, -32723021710176194239/125)
(602867265987, 917463436533719197)
(-2104972624923, -1308662077284115355)
(3020149185105, 4344093858064958449)
(1128343939401, -194191483047915539)
(997226380983, 311852190474125269)
(417509808933, -1186788486286266203)
(563832160185, -975725766786884915)
(943541218837, 389974279163205397)

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