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curve #3788
y2 + xy + y = x3 − 146128534316938360x + 21489517033413267945716810
- a-invariants
[1, 0, 1, -146128534316938360, 21489517033413267945716810]
- rank (lower bound)
- ≥ 9
- torsion subgroup
- ℤ/3ℤ
- conductor (N)
48271209739895450136738 ☆ record for ℤ/3ℤ torsion, rank ≥ 9
- discriminant (Δ)
205899942150485776090729595724806190737491031791404
- Faltings height
- 8.5984
- naive height
- 130.1834
- primes of bad reduction
2, 3, 7, 13, 19, 31, 67, 71, 661, 1063, 1627, 3943
- regulator
490753.92128872918966092309403947578463794451434304188598
- submitted by
- NDElkies
- submitted at
- last updated
(-206966777, -6547246808983)
(-379768775, 4713222588689)
(187249612, 832029986558)
(-152769353, -6344060666407)
(745232044, 18068107311038)
(89807827, 3014979319199)
(211229113, 217797153617)
(72300505, 3361851889985)
(507761752, -8843510367727)
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