curve #5551

y² + y = x³ + 47295953934055730714570683134980280

a-invariants: [0, 0, 1, 0, 47295953934055730714570683134980280]
c-invariants: [0, -40863704199024151337389070228622962136]
rank (lower bound): ≥ 17
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 60445608036902670696241152131248050222480029860045802394167695274361
discriminant (Δ): -966343935685962996420807299122262578906788237372552242875558944351209307
Faltings height: 12.4915
naive height: 173.2066
primes of bad reduction: 3, 73, 35500809858551871431466078540049
regulator: 18043819841087347319.6702773691407871559471795061533612939783629513007426
submitted by: wgxli
submitted at: 2026-10-23 02:06:49 UTC
last updated: 2026-10-23 02:06:49 UTC

(108217521140, 220370807445730744)
(168376617426, 228187524693781632)
(913310421470, 899511527464248880)
(-218130834552, 192138120614066808)
(47591049608520, 328312954995497306744)
(1687572921057/4, 2798746855806338869/8)
(2667064707329/4, 4690244856766682981/8)
(190299501179576, 2625164219902217938552)
(-4837747073415/16, 8972322893070038445/64)
(-5770622739207/16, 1249795670630709587/64)
(-4059642060694/25, 25924767367214532704/125)
(1493388250730470/9, 57711066152022417332213/27)
(175320484411032/49, 2322592900779275459553/343)
(6163582059697/324, 1268414258987245733677/5832)
(92441875507680/2209, 22596531453409270613865/103823)
(-1663556312648095/4624, 8501385153753509090033/314432)
(24468748345728636/28561, 3968856951150576192854223/4826809)

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