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curve #1205
y2 + xy + y = x3 − x2 − 5845120678571x + 5014475426545845306
- a-invariants
[1, -1, 1, -5845120678571, 5014475426545845306]- rank (lower bound)
- ≥ 8
- torsion subgroup
- ℤ/2ℤ × ℤ/2ℤ
- conductor (N)
695204037449814249 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 8- discriminant (Δ)
1918252046481808726531539580591029549969 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 8- Faltings height
- 6.2784 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 8
- naive height
- 99.8035 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 8
- primes of bad reduction
3, 7, 19, 43, 59, 193, 199, 709, 1201- regulator
109739.672584564475081167543894770452545900841046315311- submitted by
- NDElkies
- submitted at
- last updated
(266117000, 4340879698542)(2632436, 2803965705)(17655749, 73513692225)(-2247376, 2608773225)(2713481486, 141346790989308)(2064750, 1321157532)(-1768842, 3134446548)(126578001, 1423768389143)
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