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curve #4168
y2 + xy + y = x3 + x2 − 41414392011x + 3122758545858864
- a-invariants
[1, 1, 1, -41414392011, 3122758545858864]- c-invariants
[1987890816529, -2698078292803182617]- rank (lower bound)
- ≥ 7
- torsion subgroup
- ℤ/2ℤ × ℤ/2ℤ
- conductor (N)
18256488930761655- discriminant (Δ)
333299388079022837052538418339025 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 7- Faltings height
- 5.0049 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 7
- naive height
- 84.9543
- primes of bad reduction
3, 5, 7, 17, 23, 31, 37, 41, 101, 251, 373- regulator
7219.889183586803212675481600877066702441287723651159- submitted by
- NDElkies
- submitted at
- last updated
(72048, -22684113)(59524, -29500300)(1809753, 2418907259)(84169, -15314545)(472921, 298608155)(144061, -12170215)(-36224, 67659983)
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