Cremona's table of elliptic curves

Curve 27225bi3

27225 = 32 · 52 · 112



Data for elliptic curve 27225bi3

Field Data Notes
Atkin-Lehner 3- 5+ 11- Signs for the Atkin-Lehner involutions
Class 27225bi Isogeny class
Conductor 27225 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ 1021571342666015625 = 310 · 510 · 116 Discriminant
Eigenvalues  1 3- 5+  0 11- -2 -2 -4 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,-272817,-25298784] [a1,a2,a3,a4,a6]
Generators [-6188:29351:64] Generators of the group modulo torsion
j 111284641/50625 j-invariant
L 5.7394728102493 L(r)(E,1)/r!
Ω 0.21807359792907 Real period
R 6.5797428766642 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 9075l4 5445g3 225c4 Quadratic twists by: -3 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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