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curve #4367

y² + y = x³ + x² − 4034574180x + 104118165227270

a-invariants: [0, 1, 1, -4034574180, 104118165227270]
c-invariants: [193659560656, -89959256713725400]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/5ℤ
conductor (N): 45302059803
discriminant (Δ): -480124294101701972297511739803
Faltings height: 4.4476
naive height: 78.0763
primes of bad reduction: 3, 7, 11, 13, 19, 793979
regulator: 66.53039359864946391519601202547302844453619243
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:06:29 UTC
last updated: 2026-10-17 10:06:29 UTC

Witness: 4 independent points log in to add more points →

(-68775, 7502995)
(406700, 256385629)
(844137, 773436163)
(734076/25, 413977001/125)

Commentary

BASE families/family_Z5.tsv.gz:14 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.

last edited by Volkan Dagli at 2026-10-17 10:06:29 UTC · history

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