Cremona's table of elliptic curves

17472 = 2⁶ · 3 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 13+	Signs for the Atkin-Lehner involutions
Conductor	17472	Conductor
Count	4	Number of curves in isogeny class
Curves	17472cg1 17472cg2 17472cg3 17472cg4	Curves in isogeny class
deg	7680	Modular degree for the optimal curve
Eigenvalues	2- 3+ -2 7- -4 13+  6 -4	Hecke eigenvalues for primes less than 20
L	3.3887045355004	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	17472co 8736k 52416fz 122304ik	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for isogeny class 17472cg

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	+	6	-4	8	6	0	-10	-10	8	0	-10	0	2	-4	-12	14	0	16	-10	-2

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Quadratic twists for isogeny class 17472cg

-4	8	-3	-7
17472co	8736k	52416fz	122304ik

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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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