curve #1878

y² = x³ + x² − 193936360896469946772176x + 29453641253718130506136229522416740

a-invariants: [0, 1, 0, -193936360896469946772176, 29453641253718130506136229522416740]
rank (lower bound): ≥ 10
torsion subgroup: ℤ/2ℤ × ℤ/2ℤ
conductor (N): 4657769562016239402262819770480
discriminant (Δ): 92061526843791727130759161864141975692089916880240126023891534018585600
Faltings height: 12.3491
naive height: 172.4791
primes of bad reduction: 2, 3, 5, 7, 11, 13, 17, 29, 47, 59, 73, 127, 211, 227, 229, 337, 421, 983
regulator: 11054148.12798482262786449048281164815948096902467920200644
submitted by: dujella
submitted at: 2026-09-25 17:28:53 UTC
last updated: 2026-09-25 17:28:53 UTC

(161914581802, 47930396230252620)
(68453757114, 128447410733500404)
(365432019646, 85924863183911136)
(631026137512, 397926553049036550)
(-433647631493, 178902575071840620)
(177816655990, 24307793270717040)
(339616933690, 52543993541144820)
(-73308253094, 208030793878151244)
(32325641272, 152375531521162950)
(176375192827, 27107093217274980)

found by Dujella - Peral (2020)

last edited by dujella at 2026-09-25 17:28:53 UTC · history