Cremona's table of elliptic curves

2059 = 29 · 71

Field	Data	Notes
Atkin-Lehner	29+ 71-	Signs for the Atkin-Lehner involutions
Conductor	2059	Conductor
Count	1	Number of curves in isogeny class
Curves	2059a1	Curves in isogeny class
deg	280	Modular degree for the optimal curve
Eigenvalues	-2 -2 -1  0 -4 -6 -6  2	Hecke eigenvalues for primes less than 20
L	1.4736603975424	L(r)(E,1)/r!
r	2	Rank of the group of rational points
Twists	32944c 18531e 51475a 100891e	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 2059a

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	-2	-1	0	-4	-6	-6	2	4	+	-7	-2	9	-8	-11	-12	-10	-5	-2	-	-2	-10	1	-2	-17

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Quadratic twists for isogeny class 2059a

-4	-3	5	-7	29
32944c	18531e	51475a	100891e	59711a

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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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