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	224b1 224b2	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	1.717518751596	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	224a 448g 2016m 5600p	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 224b

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 224b

-4	8	-3	5	-7	-11	13	17	-19	-23
224a	448g	2016m	5600p	1568e	27104m	37856l	64736b	80864l	118496a

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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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