Cremona's table of elliptic curves

Curve 23700g2

23700 = 22 · 3 · 52 · 79



Data for elliptic curve 23700g2

Field Data Notes
Atkin-Lehner 2- 3+ 5+ 79- Signs for the Atkin-Lehner involutions
Class 23700g Isogeny class
Conductor 23700 Conductor
∏ cp 3 Product of Tamagawa factors cp
Δ 37031250000 = 24 · 3 · 510 · 79 Discriminant
Eigenvalues 2- 3+ 5+  4 -6  1 -3  5 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-11998333,-15992667338] [a1,a2,a3,a4,a6]
Generators [-2816724544088990:53057040921:1408694561000] Generators of the group modulo torsion
j 1222549509239603200/237 j-invariant
L 4.7916658049436 L(r)(E,1)/r!
Ω 0.081118390276957 Real period
R 19.690010237234 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 94800ct2 71100t2 23700t2 Quadratic twists by: -4 -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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