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curve #1303

y² + xy + y = x³ − 4868976x + 4093135598

a-invariants: [1, 0, 1, -4868976, 4093135598]
rank (lower bound): ≥ 6
torsion subgroup: ℤ/2ℤ
conductor (N): 88246450450
discriminant (Δ): 148360373728792250000
Faltings height: 2.6830
naive height: 57.8088
primes of bad reduction: 2, 5, 29, 41, 59, 139, 181
regulator: 225.18507296928700340458213295770975905213131196102
submitted by: Michael Rubinstein
submitted at: 2026-09-24 17:28:44 UTC
last updated: 2026-09-24 17:28:44 UTC

Witness: 6 independent points log in to add more points →

(-2098, 72286)
(-1278, 91351)
(977, 15911)
(682, 32671)
(-1403, 91051)
(6983/4, 234913/8)

Commentary

Torsion Z/2. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 17:28:44 UTC · history

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