Cremona's table of elliptic curves

2870 = 2 · 5 · 7 · 41

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7- 41+	Signs for the Atkin-Lehner involutions
Conductor	2870	Conductor
Count	4	Number of curves in isogeny class
Curves	2870c1 2870c2 2870c3 2870c4	Curves in isogeny class
deg	12288	Modular degree for the optimal curve
Eigenvalues	2+ -2 5+ 7-  6 -4 -6  2	Hecke eigenvalues for primes less than 20
L	0.65304915988419	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	22960i 91840t 25830bl 14350l	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2870c

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

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Quadratic twists for isogeny class 2870c

-4	8	-3	5	-7	41
22960i	91840t	25830bl	14350l	20090f	117670b

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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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