Cremona's table of elliptic curves

Curve 9744f2

9744 = 24 · 3 · 7 · 29



Data for elliptic curve 9744f2

Field Data Notes
Atkin-Lehner 2+ 3- 7- 29+ Signs for the Atkin-Lehner involutions
Class 9744f Isogeny class
Conductor 9744 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ 54254592 = 210 · 32 · 7 · 292 Discriminant
Eigenvalues 2+ 3- -4 7-  4  2 -2 -8 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-120,324] [a1,a2,a3,a4,a6]
Generators [0:18:1] Generators of the group modulo torsion
j 188183524/52983 j-invariant
L 4.3820869474196 L(r)(E,1)/r!
Ω 1.8541178334759 Real period
R 1.1817174907391 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 4872c2 38976bn2 29232p2 68208i2 Quadratic twists by: -4 8 -3 -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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