Cremona's table of elliptic curves

1015 = 5 · 7 · 29

Field	Data	Notes
Atkin-Lehner	5+ 7- 29-	Signs for the Atkin-Lehner involutions
Class	1015c	Isogeny class
Conductor	1015	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	-5075 = -1 · 52 · 7 · 29	Discriminant
Eigenvalues	0 -3 5+ 7- -2  4 -6  5	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,2,3]	[a1,a2,a3,a4,a6]
Generators	[1:2:1]	Generators of the group modulo torsion
j	884736/5075	j-invariant
L	1.298266108697	L(r)(E,1)/r!
Ω	3.116353440486	Real period
R	0.20829891947277	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	16240n1 64960v1 9135j1 5075e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1015c1

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
0	-3	+	-	-2	4	-6	5	3	-	4	-6	-7	6	-13	-5	-8	-10	5	7	-11	14	10	-5	-11

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Quadratic twists for elliptic curve 1015c1

-4	8	-3	5	-7	-11	29
16240n1	64960v1	9135j1	5075e1	7105d1	122815b1	29435e1

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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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