Cremona's table of elliptic curves

205 = 5 · 41

Field	Data	Notes
Atkin-Lehner	5+ 41-	Signs for the Atkin-Lehner involutions
Conductor	205	Conductor
Count	2	Number of curves in isogeny class
Curves	205b1 205b2	Curves in isogeny class
deg	16	Modular degree for the optimal curve
Eigenvalues	-1  2 5+  2  6  2  2 -6	Hecke eigenvalues for primes less than 20
L	1.1148927568821	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	3280i 13120t 1845f 1025c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 205b

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	2	+	2	6	2	2	-6	-4	10	0	-6	-	-4	-2	-14	12	-10	-2	-2	6	-2	0	10	10

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Quadratic twists for isogeny class 205b

-4	8	-3	5	-7	-11	13	17	-19	-23	41
3280i	13120t	1845f	1025c	10045j	24805a	34645h	59245c	74005f	108445i	8405a

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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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