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curve #4313
y2 = x3 − x2 − 22301168969x + 1152015915597129
- a-invariants
[0, -1, 0, -22301168969, 1152015915597129]- c-invariants
[1070456110528, -995335328339256320]- rank (lower bound)
- ≥ 7
- torsion subgroup
- ℤ/2ℤ × ℤ/2ℤ
- conductor (N)
11684457043048128- discriminant (Δ)
136526536390837002946133324304384 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 7- Faltings height
- 4.8993 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 7
- naive height
- 83.0973 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 7
- primes of bad reduction
2, 3, 47, 89, 97, 479, 521, 601- regulator
27365.08736289190538216106263785098613217051307410187- submitted by
- Volkan Dagli
- submitted at
- later contributions
- primes of bad reduction recorded · Volkan Dagli ·
(1140247/9, 512424620/27)(-10000, 37067877)(350600, 190863777)(-163255, -21015768)(40208, 17897835)(2719541/25, 456000336/125)(235640, 94768713)
Commentary
last edited by Volkan Dagli at · history
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