Cremona's table of elliptic curves

204 = 2² · 3 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 17+	Signs for the Atkin-Lehner involutions
Conductor	204	Conductor
Count	1	Number of curves in isogeny class
Curves	204a1	Curves in isogeny class
deg	132	Modular degree for the optimal curve
Eigenvalues	2- 3+ -1  4  3  3 17+  1	Hecke eigenvalues for primes less than 20
L	1.1284443839955	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	816i 3264l 612d 5100o	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 204a

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
-	+	-1	4	3	3	+	1	3	-10	6	-4	5	-1	-2	-14	-6	8	-12	12	2	-14	6	16	0

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Quadratic twists for isogeny class 204a

-4	8	-3	5	-7	-11	13	17	-19	-23
816i	3264l	612d	5100o	9996l	24684c	34476b	3468f	73644k	107916c

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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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