Cremona's table of elliptic curves

213 = 3 · 71

Field	Data	Notes
Atkin-Lehner	3- 71+	Signs for the Atkin-Lehner involutions
Conductor	213	Conductor
Count	2	Number of curves in isogeny class
Curves	213a1 213a2	Curves in isogeny class
deg	6	Modular degree for the optimal curve
Eigenvalues	1 3-  2  2  0 -2  0  0	Hecke eigenvalues for primes less than 20
L	1.9481162183251	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	3408f 13632c 639a 5325a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 213a

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
1	-	2	2	0	-2	0	0	0	-2	-10	-6	0	-4	12	-4	12	10	2	+	-10	4	-4	6	-2

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Quadratic twists for isogeny class 213a

-4	8	-3	5	-7	-11	13	17	-19	-23	-71
3408f	13632c	639a	5325a	10437a	25773t	35997a	61557a	76893e	112677c	15123a

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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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