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	1881b	Isogeny class
Conductor	1881	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	720	Modular degree for the optimal curve
Δ	-350277939 = -1 · 36 · 113 · 192	Discriminant
Eigenvalues	0 3-  3 -4 11+  2  0 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-246,-1737]	[a1,a2,a3,a4,a6]
Generators	[33:161:1]	Generators of the group modulo torsion
j	-2258403328/480491	j-invariant
L	2.710344088617	L(r)(E,1)/r!
Ω	0.59595862879725	Real period
R	2.2739364426075	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	30096bh1 120384bn1 209a1 47025r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1881b1

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	-	3	-4	+	2	0	-	-3	6	-7	-7	0	-10	0	-6	-3	-10	11	-15	8	-16	0	-9	-1

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Quadratic twists for elliptic curve 1881b1

-4	8	-3	5	-7	-11	-19
30096bh1	120384bn1	209a1	47025r1	92169m1	20691n1	35739o1

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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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