Cremona's table of elliptic curves

Curve 72600b2

72600 = 23 · 3 · 52 · 112



Data for elliptic curve 72600b2

Field Data Notes
Atkin-Lehner 2+ 3+ 5+ 11+ Signs for the Atkin-Lehner involutions
Class 72600b Isogeny class
Conductor 72600 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ -15524784000000 = -1 · 210 · 36 · 56 · 113 Discriminant
Eigenvalues 2+ 3+ 5+  2 11+ -4  2  2 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,3392,-174788] [a1,a2,a3,a4,a6]
Generators [42:200:1] Generators of the group modulo torsion
j 202612/729 j-invariant
L 5.2725332781675 L(r)(E,1)/r!
Ω 0.35552153238293 Real period
R 1.8538023713858 Regulator
r 1 Rank of the group of rational points
S 0.99999999994043 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 2904l2 72600cg2 Quadratic twists by: 5 -11


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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