Cremona's table of elliptic curves

Curve 3976a1

3976 = 23 · 7 · 71



Data for elliptic curve 3976a1

Field Data Notes
Atkin-Lehner 2- 7- 71+ Signs for the Atkin-Lehner involutions
Class 3976a Isogeny class
Conductor 3976 Conductor
∏ cp 2 Product of Tamagawa factors cp
deg 512 Modular degree for the optimal curve
Δ 508928 = 210 · 7 · 71 Discriminant
Eigenvalues 2- -2  0 7- -2 -2  2  2 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-168,-896] [a1,a2,a3,a4,a6]
Generators [120:1312:1] Generators of the group modulo torsion
j 515150500/497 j-invariant
L 2.5257050765908 L(r)(E,1)/r!
Ω 1.3255074675213 Real period
R 3.8109254583287 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 7952a1 31808i1 35784m1 99400c1 Quadratic twists by: -4 8 -3 5


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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