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curve #1202
y2 = x3 + x2 − 484119589693778795169401x + 129256356763357159489956676543687815
- a-invariants
[0, 1, 0, -484119589693778795169401, 129256356763357159489956676543687815]- rank (lower bound)
- ≥ 11
- torsion subgroup
- ℤ/2ℤ × ℤ/2ℤ
- conductor (N)
23354778245864734004307533064634560 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 11- discriminant (Δ)
44181099019994846369750725096977019913265208189677000361145494057881600 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 11- Faltings height
- 12.4178 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 11
- naive height
- 175.2235 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 11
- primes of bad reduction
2, 3, 5, 11, 13, 19, 23, 29, 31, 41, 43, 53, 61, 71, 97, 101, 103, 113, 139, 181, 373- regulator
65735392.0911499933888591931457226448106086065899375313144278- submitted by
- NDElkies
- submitted at
- last updated
(338498378851, 64561558570756104)(1974613908427, 2621549988928841520)(205326361015, -196240107062262120)(421045894327, 7915673646157080)(615807342757, 254278603901551320)(431410969765, 26345606980956120)(445982216257, 45316147547862180)(471422938399, 76158494696495904)(446558105131, 46030763514068256)(-630997261889, 428366866015808016)(-441969583214, -506842606589484759)
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