Cremona's table of elliptic curves

Curve 1128f1

1128 = 23 · 3 · 47



Data for elliptic curve 1128f1

Field Data Notes
Atkin-Lehner 2- 3- 47+ Signs for the Atkin-Lehner involutions
Class 1128f Isogeny class
Conductor 1128 Conductor
∏ cp 8 Product of Tamagawa factors cp
deg 96 Modular degree for the optimal curve
Δ -108288 = -1 · 28 · 32 · 47 Discriminant
Eigenvalues 2- 3-  0 -4 -4  2  2 -2 Hecke eigenvalues for primes up to 20
Equation [0,1,0,12,0] [a1,a2,a3,a4,a6]
Generators [2:6:1] Generators of the group modulo torsion
j 686000/423 j-invariant
L 2.7210305048593 L(r)(E,1)/r!
Ω 1.9313567060156 Real period
R 0.70443499545789 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 2256b1 9024b1 3384d1 28200d1 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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