Cremona's table of elliptic curves

Curve 5075b1

5075 = 52 · 7 · 29



Data for elliptic curve 5075b1

Field Data Notes
Atkin-Lehner 5+ 7+ 29+ Signs for the Atkin-Lehner involutions
Class 5075b Isogeny class
Conductor 5075 Conductor
∏ cp 4 Product of Tamagawa factors cp
deg 1536 Modular degree for the optimal curve
Δ -91984375 = -1 · 56 · 7 · 292 Discriminant
Eigenvalues -1 -2 5+ 7+ -4  2 -4  2 Hecke eigenvalues for primes up to 20
Equation [1,0,0,-238,1467] [a1,a2,a3,a4,a6]
Generators [7:9:1] Generators of the group modulo torsion
j -95443993/5887 j-invariant
L 1.324477864019 L(r)(E,1)/r!
Ω 1.8770506271718 Real period
R 0.70561648409806 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 81200bn1 45675p1 203c1 35525g1 Quadratic twists by: -4 -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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