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curve #2084
y2 + xy + y = x3 + x2 + 539663000987019167131x + 719234136896493217703737618121186
- a-invariants
[1, 1, 1, 539663000987019167131, 719234136896493217703737618121186]- rank (lower bound)
- ≥ 9
- torsion subgroup
- ℤ/4ℤ
- conductor (N)
7001980584003547791010275921- discriminant (Δ)
-223482684108570656195312190079095239578634921410847747427439654925151- Faltings height
- 11.7939 ☆ record for ℤ/4ℤ torsion, rank ≥ 9
- naive height
- 164.8346 ☆ record for ℤ/4ℤ torsion, rank ≥ 9
- primes of bad reduction
3, 7, 19, 29, 109, 239, 347, 457, 463, 571, 79152529- regulator
1749636467.5128067954096578373911303598935054234012840314- submitted by
- Seojun Jang
- submitted at
- last updated
(-51510171558, 23553458192962705)(-856922274660867/966289, 25465426652460043045439699/949862087)(-30305796847278/1681, 1828220504219956214585/68921)(-725400076314/25, 3257555236957323344/125)(282803443182637/5776, 12895959460228829497877/438976)(-5463089550212655/66049, 176999199287145840630851/16974593)(108334490636615477/26666896, 3698919675427954136736280963/137707850944)(10661485554993702113/197599249, 83580188678605222373493386411/2777652643193)(28537341679322504178/494484169, 337590388373863433130187388005/10995844466053)
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