← home · all curves · JSON ↓
curve #1204
y2 + xy + y = x3 − 754016095528923676x + 248005205668861479868764998
- a-invariants
[1, 0, 1, -754016095528923676, 248005205668861479868764998]- rank (lower bound)
- ≥ 9
- torsion subgroup
- ℤ/2ℤ × ℤ/2ℤ
- conductor (N)
122310700938581997673650 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 9- discriminant (Δ)
865221587874238897968094737334166885600848693718062500 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 9- Faltings height
- 9.1445 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 9
- naive height
- 135.1062 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 9
- primes of bad reduction
2, 3, 5, 7, 13, 43, 47, 79, 89, 103, 199, 227, 313, 433- regulator
372905.43796887393604900933523187753874985903906416879435- submitted by
- NDElkies
- submitted at
- last updated
(429979927, 1813423901711)(-550225988, 22278162995081)(132463162, 12265744500431)(-437908913, 22231285394831)(-333109829, 21499301253917)(1065261067, 25565448368141)(412636978, 2669940123974)(222905917, 9539599938641)(672256702, 6702288772211)
Commentary
No commentary yet.
Log in to add commentary.