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	6	Number of curves in isogeny class
Curves	5070a1 5070a2 5070a3 5070a4 5070a5 5070a6	Curves in isogeny class
deg	10752	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+  0 -4 13+ -6 -4	Hecke eigenvalues for primes less than 20
L	2.0246361312266	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	40560bz 15210bn 25350cs 390b	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for isogeny class 5070a

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

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Quadratic twists for isogeny class 5070a

-4	-3	5	13
40560bz	15210bn	25350cs	390b

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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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