Cremona's table of elliptic curves

3162 = 2 · 3 · 17 · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 17- 31+	Signs for the Atkin-Lehner involutions
Conductor	3162	Conductor
Count	2	Number of curves in isogeny class
Curves	3162b1 3162b2	Curves in isogeny class
deg	704	Modular degree for the optimal curve
Eigenvalues	2- 3- -4  4  0 -4 17-  4	Hecke eigenvalues for primes less than 20
L	3.1590816561419	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	25296l 101184i 9486a 79050c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3162b

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

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Quadratic twists for isogeny class 3162b

-4	8	-3	5	17	-31
25296l	101184i	9486a	79050c	53754l	98022r

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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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