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curve #1087

y2 + xy = x3 − 15745932530829089880x + 24028219957095969426339278400
a-invariants
[1, 0, 0, -15745932530829089880, 24028219957095969426339278400]
rank (lower bound)
≥ 3
torsion subgroup
ℤ/2ℤ × ℤ/8ℤ
conductor (N)
931401536730 ☆ record for ℤ/2ℤ × ℤ/8ℤ torsion, rank ≥ 3
discriminant (Δ)
435811516315113821324429157217041184204234956825600000000 ☆ record for ℤ/2ℤ × ℤ/8ℤ torsion, rank ≥ 3
Faltings height
9.7871 ☆ record for ℤ/2ℤ × ℤ/8ℤ torsion, rank ≥ 3
naive height
144.2229 ☆ record for ℤ/2ℤ × ℤ/8ℤ torsion, rank ≥ 3
primes of bad reduction
2, 3, 5, 7, 17, 29, 79, 263, 433
regulator
445.38404380963979625545113836174885259820852
submitted by
dujella
submitted at
last updated

Witness: 3 independent points log in to add more points →

Commentary

found independently by Connell (2000) and Dujella (2000), by brute-force search

last edited by dujella at · history

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