Cremona's table of elliptic curves

Curve 42021b1

42021 = 32 · 7 · 23 · 29



Data for elliptic curve 42021b1

Field Data Notes
Atkin-Lehner 3- 7+ 23+ 29+ Signs for the Atkin-Lehner involutions
Class 42021b Isogeny class
Conductor 42021 Conductor
∏ cp 8 Product of Tamagawa factors cp
deg 55296 Modular degree for the optimal curve
Δ -1001188438047 = -1 · 38 · 73 · 232 · 292 Discriminant
Eigenvalues  1 3-  0 7+ -4 -6  6  2 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,-1422,-52025] [a1,a2,a3,a4,a6]
j -436381926625/1373372343 j-invariant
L 0.7171397566069 L(r)(E,1)/r!
Ω 0.35856987832696 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 14007b1 Quadratic twists by: -3


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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