Cremona's table of elliptic curves

121 = 11²

Field	Data	Notes
Atkin-Lehner	11-	Signs for the Atkin-Lehner involutions
Class	121a	Isogeny class
Conductor	121	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-25937424601 = -1 · 1110	Discriminant
Eigenvalues	-1  2  1  2 11- -1  5 -6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-305,7888]	[a1,a2,a3,a4,a6]
j	-121	j-invariant
L	1.0197948617829	L(r)(E,1)/r!
Ω	1.0197948617829	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1936l2 7744l2 1089f2 3025c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 121a2

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	1	2	-	-1	5	-6	2	-9	-2	-3	5	0	2	9	8	-6	2	12	2	10	-6	-9	-13

---

Quadratic twists for elliptic curve 121a2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
1936l2	7744l2	1089f2	3025c2	5929f2	121c1	20449d2	34969g2	43681k2	64009c2	101761b2	116281c2

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations