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curve #1382
y2 = x3 − x2 − 2166818128665x + 1224805229566515801
- a-invariants
[0, -1, 0, -2166818128665, 1224805229566515801]- rank (lower bound)
- ≥ 10
- torsion subgroup
- ℤ/2ℤ
- conductor (N)
14908677686287650358464 ☆ record for ℤ/2ℤ torsion, rank ≥ 10- discriminant (Δ)
3036383224982962523565169256098762752 ☆ record for ℤ/2ℤ torsion, rank ≥ 10- Faltings height
- 5.8742 ☆ record for ℤ/2ℤ torsion, rank ≥ 10
- naive height
- 96.8264 ☆ record for ℤ/2ℤ torsion, rank ≥ 10
- primes of bad reduction
2, 3, 7, 17, 23, 31, 41, 127, 4337, 6073, 6673- regulator
598555.8712422437622758119989110698652147723663687239967671- submitted by
- NDElkies
- submitted at
- last updated
(596919, -379578108)(-53829, -1158139416)(772941, -108472224)(1292439, 763682892)(-1595355, -788173176)(3000663, -4662704172)(762273, 126586488)(938295, -133275324)(812001, 27118056)(394059, -657374592)
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