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curve #2083
y2 = x3 − x2 − 1224548245683425264x + 519618705544772933827276608
- a-invariants
[0, -1, 0, -1224548245683425264, 519618705544772933827276608]- rank (lower bound)
- ≥ 8
- torsion subgroup
- ℤ/4ℤ
- conductor (N)
1500485911147903054704- discriminant (Δ)
877333890064488278839004270309705535301986573692854272 ☆ record for ℤ/4ℤ torsion, rank ≥ 8- Faltings height
- 9.2041 ☆ record for ℤ/4ℤ torsion, rank ≥ 8
- naive height
- 136.5609 ☆ record for ℤ/4ℤ torsion, rank ≥ 8
- primes of bad reduction
2, 3, 7, 17, 19, 73, 137, 383, 389, 1381, 6719- regulator
4739577716.41657466262513697227471681630306082856845072- submitted by
- Seojun Jang
- submitted at
- last updated
(13914715106/25, 404567220876546/125)(-470409067448854/7102225, 463793450075817814528506/18927429625)(7568395458459858349/6653012356, 13278545270288790186410223095/542659605829496)(25549940114838715273/6777240976, 124111591324105341159777680093/557929586108224)(2098832469397/1444, 2334747931862548531/54872)(406181331136829/605284, 120984827556770543121/470910952)(317246129525029687673/528552264256, 356033373329836109370340637523/384265952950340096)(10354289730034/4225, 30380127959268026198/274625)
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