Cremona's table of elliptic curves

209 = 11 · 19

Field	Data	Notes
Atkin-Lehner	11- 19-	Signs for the Atkin-Lehner involutions
Conductor	209	Conductor
Count	2	Number of curves in isogeny class
Curves	209a1 209a2	Curves in isogeny class
deg	24	Modular degree for the optimal curve
Eigenvalues	0  1 -3 -4 11-  2  0 19-	Hecke eigenvalues for primes less than 20
L	1.252324140818	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	3344e 13376c 1881b 5225c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 209a

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
0	1	-3	-4	-	2	0	-	3	-6	-7	-7	0	-10	0	6	3	-10	11	15	8	-16	0	9	-1

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Quadratic twists for isogeny class 209a

-4	8	-3	5	-7	-11	13	17	-19	-23
3344e	13376c	1881b	5225c	10241e	2299c	35321a	60401b	3971a	110561a

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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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