Cremona's table of elliptic curves

Curve 9975b2

9975 = 3 · 52 · 7 · 19



Data for elliptic curve 9975b2

Field Data Notes
Atkin-Lehner 3+ 5+ 7+ 19+ Signs for the Atkin-Lehner involutions
Class 9975b Isogeny class
Conductor 9975 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ 6.5136790599929E+22 Discriminant
Eigenvalues -1 3+ 5+ 7+  0 -6 -2 19+ Hecke eigenvalues for primes up to 20
Equation [1,1,1,-22022438,-37844787094] [a1,a2,a3,a4,a6]
Generators [-83593182780:-902194604393:36264691] Generators of the group modulo torsion
j 75596184328076883820441/4168754598395480625 j-invariant
L 1.8960686947116 L(r)(E,1)/r!
Ω 0.069931545132017 Real period
R 13.556605185344 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 29925n2 1995g2 69825bx2 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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