Cremona's table of elliptic curves

4784 = 2⁴ · 13 · 23

Field	Data	Notes
Atkin-Lehner	2- 13+ 23+	Signs for the Atkin-Lehner involutions
Conductor	4784	Conductor
Count	2	Number of curves in isogeny class
Curves	4784b1 4784b2	Curves in isogeny class
deg	1728	Modular degree for the optimal curve
Eigenvalues	2-  0 -2 -2 -2 13+ -2  2	Hecke eigenvalues for primes less than 20
L	0.52007450620923	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1196a 19136w 43056bf 119600bn	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 4784b

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

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Quadratic twists for isogeny class 4784b

-4	8	-3	5	13	-23
1196a	19136w	43056bf	119600bn	62192i	110032e

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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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