Cremona's table of elliptic curves

121 = 11²

Field	Data	Notes
Atkin-Lehner	11+	Signs for the Atkin-Lehner involutions
Conductor	121	Conductor
Count	2	Number of curves in isogeny class
Curves	121b1 121b2	Curves in isogeny class
deg	4	Modular degree for the optimal curve
Eigenvalues	0 -1 -3  0 11+  0  0  0	Hecke eigenvalues for primes less than 20
L	0.8623722966904	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1936f 7744a 1089e 3025a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 121b

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	0	+	0	0	0	-9	0	-5	7	0	0	-12	6	-15	0	13	-3	0	0	0	-9	17

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Quadratic twists for isogeny class 121b

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
1936f	7744a	1089e	3025a	5929a	121b	20449a	34969a	43681c	64009a	101761a	116281a

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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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