Cremona's table of elliptic curves

Curve 101016d2

101016 = 23 · 32 · 23 · 61



Data for elliptic curve 101016d2

Field Data Notes
Atkin-Lehner 2+ 3- 23+ 61- Signs for the Atkin-Lehner involutions
Class 101016d Isogeny class
Conductor 101016 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ 13224685003776 = 210 · 38 · 232 · 612 Discriminant
Eigenvalues 2+ 3-  2  0  4  6 -2  4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-101019,-12356890] [a1,a2,a3,a4,a6]
Generators [7163248488775:583544193534016:1076890625] Generators of the group modulo torsion
j 152723343168868/17715681 j-invariant
L 9.6576612023922 L(r)(E,1)/r!
Ω 0.26779459749843 Real period
R 18.031844742892 Regulator
r 1 Rank of the group of rational points
S 0.9999999991963 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 33672f2 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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