Cremona's table of elliptic curves

5712 = 2⁴ · 3 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 17-	Signs for the Atkin-Lehner involutions
Conductor	5712	Conductor
Count	6	Number of curves in isogeny class
Curves	5712t1 5712t2 5712t3 5712t4 5712t5 5712t6	Curves in isogeny class
deg	92160	Modular degree for the optimal curve
Eigenvalues	2- 3- -2 7+ -4 -2 17- -4	Hecke eigenvalues for primes less than 20
L	1.1731267761782	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	714g 22848bx 17136y 39984bv	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for isogeny class 5712t

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

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Quadratic twists for isogeny class 5712t

-4	8	-3	-7	17
714g	22848bx	17136y	39984bv	97104cb

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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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