Cremona's table of elliptic curves

121 = 11²

Field	Data	Notes
Atkin-Lehner	11+	Signs for the Atkin-Lehner involutions
Class	121b	Isogeny class
Conductor	121	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	4	Modular degree for the optimal curve
Δ	-1331 = -1 · 113	Discriminant
Eigenvalues	0 -1 -3  0 11+  0  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-7,10]	[a1,a2,a3,a4,a6]
Generators	[4:5:1]	Generators of the group modulo torsion
j	-32768	j-invariant
L	0.8623722966904	L(r)(E,1)/r!
Ω	4.802421322	Real period
R	0.08978515616069	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1936f1 7744a1 1089e1 3025a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 121b1

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 elliptic curve 121b1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
1936f1	7744a1	1089e1	3025a1	5929a1	121b2	20449a1	34969a1	43681c1	64009a1	101761a1	116281a1

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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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