Cremona's table of elliptic curves

Curve 33600ch2

33600 = 26 · 3 · 52 · 7



Data for elliptic curve 33600ch2

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 7+ Signs for the Atkin-Lehner involutions
Class 33600ch Isogeny class
Conductor 33600 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ -9408000000 = -1 · 212 · 3 · 56 · 72 Discriminant
Eigenvalues 2+ 3- 5+ 7+ -2 -2 -4 -4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,167,-4537] [a1,a2,a3,a4,a6]
j 8000/147 j-invariant
L 1.2615985792082 L(r)(E,1)/r!
Ω 0.6307992896067 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 33600r2 16800b1 100800dh2 1344c2 Quadratic twists by: -4 8 -3 5


Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations