Cremona's table of elliptic curves

Curve 30016f1

30016 = 26 · 7 · 67



Data for elliptic curve 30016f1

Field Data Notes
Atkin-Lehner 2+ 7+ 67+ Signs for the Atkin-Lehner involutions
Class 30016f Isogeny class
Conductor 30016 Conductor
∏ cp 2 Product of Tamagawa factors cp
deg 82944 Modular degree for the optimal curve
Δ 23532544 = 210 · 73 · 67 Discriminant
Eigenvalues 2+  3 -3 7+  4 -1 -4  0 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-38344,-2889976] [a1,a2,a3,a4,a6]
Generators [-7181464542:5865292:63521199] Generators of the group modulo torsion
j 6088579813251072/22981 j-invariant
L 8.1348458911536 L(r)(E,1)/r!
Ω 0.34117342927379 Real period
R 11.921863183292 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 30016cd1 3752d1 Quadratic twists by: -4 8


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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