Cremona's table of elliptic curves

1881 = 3² · 11 · 19

Field	Data	Notes
Atkin-Lehner	3- 11- 19+	Signs for the Atkin-Lehner involutions
Class	1881c	Isogeny class
Conductor	1881	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	224	Modular degree for the optimal curve
Δ	-457083 = -1 · 37 · 11 · 19	Discriminant
Eigenvalues	0 3- -4  2 11-  1  3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-12,36]	[a1,a2,a3,a4,a6]
Generators	[2:4:1]	Generators of the group modulo torsion
j	-262144/627	j-invariant
L	2.1287475952847	L(r)(E,1)/r!
Ω	2.6249990452712	Real period
R	0.20273793995464	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	30096bc1 120384bf1 627a1 47025z1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1881c1

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	-	-4	2	-	1	3	+	-2	4	-4	2	-6	-4	-6	-1	-11	10	-6	3	0	-11	13	9	-6

---

Quadratic twists for elliptic curve 1881c1

-4	8	-3	5	-7	-11	-19
30096bc1	120384bf1	627a1	47025z1	92169bi1	20691p1	35739t1

---

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