Cremona's table of elliptic curves

Curve 1400g1

1400 = 23 · 52 · 7



Data for elliptic curve 1400g1

Field Data Notes
Atkin-Lehner 2- 5+ 7+ Signs for the Atkin-Lehner involutions
Class 1400g Isogeny class
Conductor 1400 Conductor
∏ cp 2 Product of Tamagawa factors cp
deg 720 Modular degree for the optimal curve
Δ -53593750000 = -1 · 24 · 510 · 73 Discriminant
Eigenvalues 2-  0 5+ 7+  1  2  4 -2 Hecke eigenvalues for primes up to 20
Equation [0,0,0,625,9375] [a1,a2,a3,a4,a6]
j 172800/343 j-invariant
L 1.5476618638719 L(r)(E,1)/r!
Ω 0.77383093193595 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 2800f1 11200a1 12600n1 1400e1 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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