Cremona's table of elliptic curves

Curve 8745c1

8745 = 3 · 5 · 11 · 53



Data for elliptic curve 8745c1

Field Data Notes
Atkin-Lehner 3+ 5+ 11+ 53- Signs for the Atkin-Lehner involutions
Class 8745c Isogeny class
Conductor 8745 Conductor
∏ cp 4 Product of Tamagawa factors cp
deg 1280 Modular degree for the optimal curve
Δ 288585 = 32 · 5 · 112 · 53 Discriminant
Eigenvalues -1 3+ 5+ -2 11+ -4 -4  2 Hecke eigenvalues for primes up to 20
Equation [1,1,1,-46,98] [a1,a2,a3,a4,a6]
Generators [-8:9:1] [-1:12:1] Generators of the group modulo torsion
j 10779215329/288585 j-invariant
L 3.0638688816244 L(r)(E,1)/r!
Ω 3.0704757008416 Real period
R 0.99784827503672 Regulator
r 2 Rank of the group of rational points
S 0.99999999999916 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 26235n1 43725m1 96195c1 Quadratic twists by: -3 5 -11


Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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