Cremona's table of elliptic curves

714 = 2 · 3 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 17-	Signs for the Atkin-Lehner involutions
Conductor	714	Conductor
Count	6	Number of curves in isogeny class
Curves	714g1 714g2 714g3 714g4 714g5 714g6	Curves in isogeny class
deg	3840	Modular degree for the optimal curve
Eigenvalues	2- 3+ -2 7-  4 -2 17-  4	Hecke eigenvalues for primes less than 20
L	1.8827095166557	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	5712t 22848bn 2142g 17850o	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 714g

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 714g

-4	8	-3	5	-7	-11	13	17
5712t	22848bn	2142g	17850o	4998bm	86394b	120666d	12138w

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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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