Cremona's table of elliptic curves

224 = 2⁵ · 7

Field	Data	Notes
Atkin-Lehner	2+ 7+	Signs for the Atkin-Lehner involutions
Conductor	224	Conductor
Count	2	Number of curves in isogeny class
Curves	224a1 224a2	Curves in isogeny class
deg	8	Modular degree for the optimal curve
Eigenvalues	2+ -2  0 7+ -4 -4 -2 -6	Hecke eigenvalues for primes less than 20
L	1.1435250753789	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	224b 448d 2016l 5600u	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 224a

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	0	+	-4	-4	-2	-6	8	2	-4	10	-10	4	4	-2	10	-8	-8	0	-6	-16	2	18	-2

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Quadratic twists for isogeny class 224a

-4	8	-3	5	-7	-11	13	17	-19	-23
224b	448d	2016l	5600u	1568c	27104x	37856s	64736h	80864i	118496e

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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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