Cremona's table of elliptic curves

8736 = 2⁵ · 3 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 13-	Signs for the Atkin-Lehner involutions
Conductor	8736	Conductor
Count	4	Number of curves in isogeny class
Curves	8736k1 8736k2 8736k3 8736k4	Curves in isogeny class
deg	3840	Modular degree for the optimal curve
Eigenvalues	2+ 3-  2 7-  4 13-  6  4	Hecke eigenvalues for primes less than 20
L	4.3187879224804	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	8736d 17472cg 26208bs 61152e	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for isogeny class 8736k

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 8736k

-4	8	-3	-7	13
8736d	17472cg	26208bs	61152e	113568cp

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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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