Cremona's table of elliptic curves

Curve 29575b1

29575 = 52 · 7 · 132



Data for elliptic curve 29575b1

Field Data Notes
Atkin-Lehner 5+ 7+ 13+ Signs for the Atkin-Lehner involutions
Class 29575b Isogeny class
Conductor 29575 Conductor
∏ cp 12 Product of Tamagawa factors cp
deg 673920 Modular degree for the optimal curve
Δ -1.3661896352686E+19 Discriminant
Eigenvalues  1 -1 5+ 7+ -4 13+  7 -6 Hecke eigenvalues for primes up to 20
Equation [1,1,0,-1552775,-766335500] [a1,a2,a3,a4,a6]
Generators [509040:4604230:343] Generators of the group modulo torsion
j -32485001809/1071875 j-invariant
L 3.6855867062668 L(r)(E,1)/r!
Ω 0.067491643804054 Real period
R 4.5506703972703 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 5915b1 29575j1 Quadratic twists by: 5 13


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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