curve #4394

y² + xy + y = x³ − 3847814251363x + 2824924562370598842

a-invariants: [1, 0, 1, -3847814251363, 2824924562370598842]
c-invariants: [184695084065401, -2440735098930823497805]
rank (lower bound): ≥ 15
torsion subgroup: trivial
conductor (N): 99300204089004822267342053284482380746
discriminant (Δ): 198600408178009644534684106568964761492
Faltings height: 6.1235
naive height: 98.5492
primes of bad reduction: 2, 191, 309241897, 840598187908115571800080099
regulator: 703497797198.03307739277529445285201994830685423829231918390004069545
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:21:35 UTC
last updated: 2026-10-17 10:21:35 UTC

(-101315, 1792737438)
(1753114, 1210446732)
(742393, -614783340)
(965830, 97206528)
(-746684, 2298573090)
(-1797357, -1982652054)
(-1942613, 1723995646)
(-2133101, -1150817502)
(-1062829, 2390911290)
(968424, -83193202)
(753573, 593970740)
(-319251, -2005034802)
(5863805, 13483520478)
(2492115, -2953084902)
(944275, -183496094)

BASE records/rank_15.md#30 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:21:35 UTC · history