Cremona's table of elliptic curves

11 = Prime conductor

Field	Data	Notes
Atkin-Lehner	11-	Signs for the Atkin-Lehner involutions
Conductor	11	Conductor
Count	3	Number of curves in isogeny class
Curves	11a1 11a2 11a3	Curves in isogeny class
deg	1	Modular degree for the optimal curve
Eigenvalues	-2 -1  1 -2 11-  4 -2  0	Hecke eigenvalues for primes less than 20
L	0.25384186085591	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	176b 704a 99d 275b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 11a

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	1	-2	-	4	-2	0	-1	0	7	3	-8	-6	8	-6	5	12	-7	-3	4	-10	-6	15	-7

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Quadratic twists for isogeny class 11a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53	-59	61	-67	-71	73	-79	-83	89	97	101	-103	-107
176b	704a	99d	275b	539d	121d	1859a	3179c	3971b	5819a	9251a	10571a	15059e	18491a	20339f	24299c	30899c	38291c	40931a	49379b	55451b	58619b	68651e	75779e	87131c	103499a	112211c	116699a	125939a

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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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