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curve #2093
y2 = x3 − 1259741485178368997962172x + 544214684135190588055937582965403264
- a-invariants
[0, 0, 0, -1259741485178368997962172, 544214684135190588055937582965403264]
- rank (lower bound)
- ≥ 9
- torsion subgroup
- ℤ/4ℤ
- conductor (N)
16300273795523604802511289760
- discriminant (Δ)
2996215358123838428857682306137545322121217600479288895665600000000 ☆ record for ℤ/4ℤ torsion, rank ≥ 9
- Faltings height
- 12.3122
- naive height
- 178.0924
- primes of bad reduction
2, 5, 11, 19, 29, 59, 61, 67, 101, 137, 1031, 21799, 224149
- regulator
264800597.17017447250390486697504837590856045382944228326
- submitted by
- Seojun Jang
- submitted at
- last updated
(648108435418, 115765552589500)
(647759112818, 337093471469700)
(52435286313613/81, 666539155638050365/729)
(126292518469418, 1419218759503994278500)
(47595029379759013/73441, 797356678431687931975/19902511)
(110408249285845/169, 16243019807302927969/2197)
(5802748124399962/9409, 39488490288312519554500/912673)
(31733113682197/49, 185932566351405665/343)
(21513405441129415642/33212169, 65178010119233459151687500/191401729947)
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