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curve #1206
y2 = x3 − x2 − 78311948640x + 7321035031624512
- a-invariants
[0, -1, 0, -78311948640, 7321035031624512]- rank (lower bound)
- ≥ 7
- torsion subgroup
- ℤ/2ℤ × ℤ/2ℤ
- conductor (N)
1451359998752880 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 7- discriminant (Δ)
7583205045527855406559109859840000 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 7- Faltings height
- 5.2266 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 7
- naive height
- 86.8655 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 7
- primes of bad reduction
2, 3, 5, 29, 37, 71, 151, 521, 1009- regulator
9624.445318457846288392619441231971304387097663240851- submitted by
- NDElkies
- submitted at
- last updated
(-125526, 123180030)(59429, -53636950)(437154, -237966750)(2476869, 3874098690)(215984, 21961720)(240737, 49194904)(645554, 475178050)
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