curve #2095

y² + xy + y = x³ + x² − 117235858075029735712714x + 15161392242705032256166121685843926

a-invariants: [1, 1, 1, -117235858075029735712714, 15161392242705032256166121685843926]
rank (lower bound): ≥ 9
torsion subgroup: ℤ/2ℤ × ℤ/2ℤ
conductor (N): 7001980584003547791010275921
discriminant (Δ): 3821489471492828819144197165685626507870260803087648147238356830505889
Faltings height: 12.1405
naive height: 170.9690
primes of bad reduction: 3, 7, 19, 29, 109, 239, 347, 457, 463, 571, 79152529
regulator: 895813871366.55707924974481274425874426547477678145742405
submitted by: Steps Unbounded
submitted at: 2026-09-26 06:56:13 UTC
last updated: 2026-09-26 06:56:13 UTC

(601370665379, -402670002988803690)
(1046652770879524199/3865156, -434639589913890643472136135/7598896696)
(538927528257299/1681, -7071762456956483840610/68921)
(17248132843533539/46225, -1519236597167990420764842/9938375)
(11512511922739861/51984, -91670571744379539198665/11852352)
(125437627622979555461/26419600, -1401330303171905893508267295561/135796744000)
(194161234750911948016101/743713062544, -31081849319672088468126759285623515/641369220581195072)
(1645911686377834921524407709/7468837444174096, -3412905172354173352418996725208688999445/645475126013539384417856)
(12161940947246916377649201455699/55325641645318547281, -1461997969160796374589304788413447948130511410/411518808163741416614649983321)

2-isogenous partner of curve#2084 (Seojun Jang).

last edited by Steps Unbounded at 2026-09-26 21:43:51 UTC · history