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curve #4056
y2 + xy = x3 + x2 − 129075833083x + 9551874655985737
- a-invariants
[1, 1, 0, -129075833083, 9551874655985737]- c-invariants
[6195639988009, -8252866170071586773]- rank (lower bound)
- ≥ 10
- torsion subgroup
- ℤ/2ℤ
- conductor (N)
884834993897161758496110- discriminant (Δ)
98215137091266276677045686117092900 ☆ record for ℤ/2ℤ torsion, rank ≥ 10- Faltings height
- 5.4117 ☆ record for ℤ/2ℤ torsion, rank ≥ 10
- naive height
- 88.3646 ☆ record for ℤ/2ℤ torsion, rank ≥ 10
- primes of bad reduction
2, 3, 5, 13, 23, 29, 53, 83, 97, 311, 599, 1871, 22871- regulator
2293658.880097743096475002145097533727130655223381831227778- submitted by
- NDElkies
- submitted at
- last updated
(375804, -119011835)(1174696, 1215514747)(1237746, 1320757807)(-76604, 137842807)(-245869, 162679172)(337756, 66814597)(-122873, -153420548)(996752, -933870829)(-211214, -165399713)(360434, 99085391)
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