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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
(2188064030, -7124272297330)
(-2815745040, -214568724545880)
(3643261410, -122557804465830)
Commentary
last edited by dujella at · history
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