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curve #5782
y2 + y = x3 − 181408176985685267017
- a-invariants
[0, 0, 1, 0, -181408176985685267017]
- c-invariants
[0, 156736664915632070702472]
- rank (lower bound)
- ≥ 7
- torsion subgroup
- trivial
- families
- y2 = x3 + k (Mordell curves); x3 + y3 = A (cube-sum curves)
- conductor (N)
58776249343362026513427
- discriminant (Δ)
-14216656324580514620959076716268914032145203
- Faltings height
- 6.9591
- naive height
- 106.8177
- primes of bad reduction
3, 13, 97, 1279, 9643
- regulator
40634606.89317551648842132310923831879495763636965236
- submitted by
- Maksym Voznyy
- submitted at
- last updated
(1040315371942105151709037/88661730438872809, 999726545621091283783477093022128532/26400022983570102938592373)
(120542773, 1323394348724)
(8076488025259/75625, -22950993388455292598/20796875)
(20437185885833408611/3059228374225, -57812514352461758913965668359/5350789276363849625)
(82519488916181473/216796176, 23704679070860321674775951/3192106895424)
(759439240416103/50965321, 20346746968411900187446/363841426619)
(41356735655089/7290000, 21318341642681122313/19683000000)
Commentary
last edited by Maksym Voznyy at · history
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