curve #4395

y² + y = x³ − 2193487560853x + 1645739038058040708

a-invariants: [0, 0, 1, -2193487560853, 1645739038058040708]
c-invariants: [105287402920944, -1421918528882147171928]
rank (lower bound): ≥ 15
torsion subgroup: trivial
conductor (N): 98923079663225083409518579325988101695
discriminant (Δ): -494615398316125417047592896629940508475
Faltings height: 6.1325
naive height: 97.4126
primes of bad reduction: 5, 19784615932645016681903715865197620339
regulator: 667918532273.37633257095861043394911456335402018587608714318936194356
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:21:38 UTC
last updated: 2026-10-17 10:21:38 UTC

(878506, 629884182)
(1380386, -1117209663)
(-458128, 1598275515)
(-1685679, 743891792)
(1137746, 789227982)
(-1647752, -886720413)
(1187621, -846037608)
(1509123, 1331334687)
(1708898, -1699365378)
(1031473, -693280368)
(1044307, 702824255)
(-377489, 1555623687)
(982171, -662434993)
(325373, -983099113)
(380327, 930865335)

BASE records/rank_15.md#19 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:21:38 UTC · history