Cremona's table of elliptic curves

215 = 5 · 43

Field	Data	Notes
Atkin-Lehner	5+ 43+	Signs for the Atkin-Lehner involutions
Conductor	215	Conductor
Count	1	Number of curves in isogeny class
Curves	215a1	Curves in isogeny class
deg	8	Modular degree for the optimal curve
Eigenvalues	0  0 5+ -2 -1 -1 -3 -2	Hecke eigenvalues for primes less than 20
L	1.213693422283	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	3440d 13760j 1935j 1075a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 215a

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	0	+	-2	-1	-1	-3	-2	-1	4	3	-8	5	+	0	-5	12	-4	-3	6	-8	0	-9	-6	-17

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Quadratic twists for isogeny class 215a

-4	8	-3	5	-7	-11	13	17	-19	-23	-43
3440d	13760j	1935j	1075a	10535c	26015d	36335c	62135b	77615a	113735i	9245c

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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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