Cremona's table of elliptic curves

5070 = 2 · 3 · 5 · 13²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 13+	Signs for the Atkin-Lehner involutions
Conductor	5070	Conductor
Count	4	Number of curves in isogeny class
Curves	5070k1 5070k2 5070k3 5070k4	Curves in isogeny class
deg	8064	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5- -2  0 13+  0 -2	Hecke eigenvalues for primes less than 20
L	3.4140355069207	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	40560br 15210bf 25350bx 390c	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for isogeny class 5070k

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

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Quadratic twists for isogeny class 5070k

-4	-3	5	13
40560br	15210bf	25350bx	390c

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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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