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curve #2046

y² + xy = x³ − 350782390155416x + 2528743300739304106560

a-invariants: [1, 0, 0, -350782390155416, 2528743300739304106560]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/6ℤ
conductor (N): 5421733986630
discriminant (Δ): 480462015271142545753245603310820229120
Faltings height: 6.8535
naive height: 112.0872
primes of bad reduction: 2, 3, 5, 13, 31, 37, 107, 227, 499
regulator: 22357.5718077835613462115810764550446525649614708
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:08:04 UTC
last updated: 2026-09-26 05:08:04 UTC

Witness: 5 independent points log in to add more points →

(10939456, -725246120)
(32722793904/3025, 2165593487448/166375)
(538345840/49, -341404101800/343)
(9097287024/841, 276265603080/24389)
(10760692096/625, 623483402783656/15625)

Commentary

2-isogenous partner of curve#1672 (Michael Rubinstein).

last edited by Steps Unbounded at 2026-09-26 21:51:08 UTC · history

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