Cremona's table of elliptic curves

1128 = 2³ · 3 · 47

Field	Data	Notes
Atkin-Lehner	2- 3+ 47-	Signs for the Atkin-Lehner involutions
Class	1128c	Isogeny class
Conductor	1128	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	128	Modular degree for the optimal curve
Δ	-433152 = -1 · 210 · 32 · 47	Discriminant
Eigenvalues	2- 3+  2  0 -6  0 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,8,28]	[a1,a2,a3,a4,a6]
Generators	[1:6:1]	Generators of the group modulo torsion
j	48668/423	j-invariant
L	2.3767150297259	L(r)(E,1)/r!
Ω	2.179322388255	Real period
R	1.0905752368418	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2256d1 9024w1 3384b1 28200i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1128c1

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
-	+	2	0	-6	0	-6	-4	0	6	-2	10	-8	-4	-	-6	0	-6	4	-8	-2	4	-8	-2	6

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Quadratic twists for elliptic curve 1128c1

-4	8	-3	5	-7	-47
2256d1	9024w1	3384b1	28200i1	55272bg1	53016m1

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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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