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curve #1703

y² + y = x³ + x² − 48935116240x + 4165568029447744

a-invariants: [0, 1, 1, -48935116240, 4165568029447744]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/5ℤ
conductor (N): 10310188845
discriminant (Δ): 3560560933924514022104936503125
Faltings height: 4.8447
naive height: 85.4549
primes of bad reduction: 3, 5, 11, 53, 1178981
regulator: 102.2968568277946150415999484634542530864678665
submitted by: Michael Rubinstein
submitted at: 2026-09-25 06:12:48 UTC
last updated: 2026-09-25 06:12:48 UTC

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

(124391, 1792327)
(-157039, 89317057)
(130061, 1062517)
(2753456/25, 1322739779/125)

Commentary

Torsion Z/5. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 06:12:48 UTC · history

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