Cremona's table of elliptic curves

Curve 9065b1

9065 = 5 · 72 · 37



Data for elliptic curve 9065b1

Field Data Notes
Atkin-Lehner 5+ 7- 37- Signs for the Atkin-Lehner involutions
Class 9065b Isogeny class
Conductor 9065 Conductor
∏ cp 2 Product of Tamagawa factors cp
deg 2640 Modular degree for the optimal curve
Δ 108825325 = 52 · 76 · 37 Discriminant
Eigenvalues  0  1 5+ 7- -5 -4  4  8 Hecke eigenvalues for primes up to 20
Equation [0,1,1,-261,-1634] [a1,a2,a3,a4,a6]
Generators [-8:2:1] Generators of the group modulo torsion
j 16777216/925 j-invariant
L 3.4243900688321 L(r)(E,1)/r!
Ω 1.1914901872706 Real period
R 1.4370198367627 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 81585bb1 45325e1 185b1 Quadratic twists by: -3 5 -7


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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