Cremona's table of elliptic curves

70 = 2 · 5 · 7

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+	Signs for the Atkin-Lehner involutions
Conductor	70	Conductor
Count	4	Number of curves in isogeny class
Curves	70a1 70a2 70a3 70a4	Curves in isogeny class
deg	4	Modular degree for the optimal curve
Eigenvalues	2-  0 5+ 7+  4 -6  2  0	Hecke eigenvalues for primes less than 20
L	1.1803043465577	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	560d 2240f 630e 350a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 70a

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	+	+	4	-6	2	0	0	6	8	-10	2	4	8	-2	-8	-14	-12	-16	2	-8	8	10	2

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Quadratic twists for isogeny class 70a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43
560d	2240f	630e	350a	490h	8470h	11830l	20230r	25270c	37030t	58870a	67270y	95830e	117670m	129430k

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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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