Cremona's table of elliptic curves

2204 = 2² · 19 · 29

Field	Data	Notes
Atkin-Lehner	2- 19+ 29-	Signs for the Atkin-Lehner involutions
Conductor	2204	Conductor
Count	1	Number of curves in isogeny class
Curves	2204b1	Curves in isogeny class
deg	13440	Modular degree for the optimal curve
Eigenvalues	2-  2 -1 -3 -3  4  5 19+	Hecke eigenvalues for primes less than 20
L	3.6952374762068	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	8816l 35264m 19836d 55100e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2204b

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	-1	-3	-3	4	5	+	-8	-	-4	2	10	-7	-9	-4	-10	-5	-4	-6	1	-8	4	-4	-8

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Quadratic twists for isogeny class 2204b

-4	8	-3	5	-7	-19	29
8816l	35264m	19836d	55100e	107996h	41876a	63916e

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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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