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curve #1395
y2 + xy = x3 − 212839301373879877635x + 1195884900278493132313187100225
- a-invariants
[1, 0, 0, -212839301373879877635, 1195884900278493132313187100225]- rank (lower bound)
- ≥ 10
- torsion subgroup
- ℤ/3ℤ
- conductor (N)
672051156621518897201543610 ☆ record for ℤ/3ℤ torsion, rank ≥ 10- discriminant (Δ)
-749337606067329402312832612242904956416543887233024000000000 ☆ record for ℤ/3ℤ torsion, rank ≥ 10- Faltings height
- 10.4252 ☆ record for ℤ/3ℤ torsion, rank ≥ 10
- naive height
- 152.0360 ☆ record for ℤ/3ℤ torsion, rank ≥ 10
- primes of bad reduction
2, 3, 5, 19, 31, 79, 109, 127, 163, 271, 613, 1381, 1579- regulator
7904315.078938421145307883080262965039888616580173013968446- submitted by
- NDElkies
- submitted at
- last updated
(27889934070, 4117503758170065)(8918437200, 83961435924015)(9041940270, 103163798677065)(8473524270, 28105477717065)(11015883870, 433637257513065)(-14891580570, -1031037621180735)(8432518470, 26972666397465)(4712500110, 545463734862825)(-13049354130, 1323329106373065)(68411577870, 17515994089693065)
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