Cremona's table of elliptic curves

2016 = 2⁵ · 3² · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 7-	Signs for the Atkin-Lehner involutions
Class	2016g	Isogeny class
Conductor	2016	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1693052928 = 212 · 310 · 7	Discriminant
Eigenvalues	2+ 3-  2 7- -4 -6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-444,3008]	[a1,a2,a3,a4,a6]
Generators	[-11:81:1]	Generators of the group modulo torsion
j	3241792/567	j-invariant
L	3.2794941353111	L(r)(E,1)/r!
Ω	1.4244450324081	Real period
R	1.1511480122778	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2016c2 4032bk1 672e2 50400di3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2016g3

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	2	-	-4	-6	2	-4	-4	2	-8	-10	2	-8	0	10	-12	10	8	12	2	0	12	-6	2

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Quadratic twists for elliptic curve 2016g3

-4	8	-3	5	-7
2016c2	4032bk1	672e2	50400di3	14112bb2

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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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