Cremona's table of elliptic curves

Curve 6225i1

6225 = 3 · 52 · 83



Data for elliptic curve 6225i1

Field Data Notes
Atkin-Lehner 3- 5+ 83- Signs for the Atkin-Lehner involutions
Class 6225i Isogeny class
Conductor 6225 Conductor
∏ cp 1 Product of Tamagawa factors cp
deg 1120 Modular degree for the optimal curve
Δ -3890625 = -1 · 3 · 56 · 83 Discriminant
Eigenvalues -1 3- 5+  4 -3 -2 -4 -1 Hecke eigenvalues for primes up to 20
Equation [1,0,0,37,42] [a1,a2,a3,a4,a6]
Generators [3:12:1] Generators of the group modulo torsion
j 357911/249 j-invariant
L 3.3226488152318 L(r)(E,1)/r!
Ω 1.5679872057918 Real period
R 2.1190535247728 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 99600bs1 18675g1 249b1 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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