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	1015a	Isogeny class
Conductor	1015	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	888125 = 54 · 72 · 29	Discriminant
Eigenvalues	-1  2 5+ 7-  0 -2  0  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-151,-776]	[a1,a2,a3,a4,a6]
j	380920459249/888125	j-invariant
L	1.3620755055775	L(r)(E,1)/r!
Ω	1.3620755055775	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	16240k2 64960y2 9135n2 5075a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1015a2

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
-1	2	+	-	0	-2	0	6	8	+	2	-2	8	8	6	-2	12	-4	-12	8	0	16	0	-12	8

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Quadratic twists for elliptic curve 1015a2

-4	8	-3	5	-7	-11	29
16240k2	64960y2	9135n2	5075a2	7105b2	122815c2	29435f2

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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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