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curve #4058
y2 + xy = x3 + x2 + 12360728041642x + 29933108375647357188
- a-invariants
[1, 1, 0, 12360728041642, 29933108375647357188]- c-invariants
[-593314945998791, -25862201186697221619437]- rank (lower bound)
- ≥ 11
- torsion subgroup
- ℤ/2ℤ
- conductor (N)
11047558008756035286914120610- discriminant (Δ)
-507936189264922918397430551369440453568880- Faltings height
- 6.6865 ☆ record for ℤ/2ℤ torsion, rank ≥ 11
- naive height
- 103.2141 ☆ record for ℤ/2ℤ torsion, rank ≥ 11
- primes of bad reduction
2, 3, 5, 13, 29, 41, 47, 59, 79, 127, 149, 1231, 58579, 79699- regulator
2936023493.48519572037084045025298790846467090349352655689186- submitted by
- NDElkies
- submitted at
- last updated
(1866868, 7713686550)(-1823609, -1151249257)(23643828, 116348876550)(3218548, -10153349098)(3581023/4, 51667163887/8)(-846917, -4342056450)(16050087, 66044314434)(5522880897/169, -413018160395400/2197)(72665899/4, 632372695809/8)(4677811, -13790513242)(-526642173/484, -41501027061225/10648)
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