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curve #1381
y2 = x3 − x2 − 84682490237600x + 303107476851147884496
- a-invariants
[0, -1, 0, -84682490237600, 303107476851147884496]- rank (lower bound)
- ≥ 11
- torsion subgroup
- ℤ/2ℤ
- conductor (N)
134794654972773356297689104 ☆ record for ℤ/2ℤ torsion, rank ≥ 11- discriminant (Δ)
-824428509413700987118871899421608990522368- Faltings height
- 6.8539 ☆ record for ℤ/2ℤ torsion, rank ≥ 11
- naive height
- 107.8444 ☆ record for ℤ/2ℤ torsion, rank ≥ 11
- primes of bad reduction
2, 3, 17, 29, 37, 41, 53, 73, 101, 109, 223, 13327, 29663- regulator
8779445.79284190166371616743527375496899681413379655936457524- submitted by
- NDElkies
- submitted at
- last updated
(5184110, -1851227586)(5693756, -2351822976)(7762616, 10654158156)(4422428, 3885680208)(5602654, -2127571262)(5967400, -3204909364)(6894646, 6855400654)(12336728, 33704436492)(4620988, -3234979232)(4100380, 4981690064)(4885352, 2449639860)
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