Cremona's table of elliptic curves

1472 = 2⁶ · 23

Field	Data	Notes
Atkin-Lehner	2+ 23-	Signs for the Atkin-Lehner involutions
Class	1472g	Isogeny class
Conductor	1472	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	-23552 = -1 · 210 · 23	Discriminant
Eigenvalues	2+ -3  0 -2  0  5 -6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-220,-1256]	[a1,a2,a3,a4,a6]
j	-1149984000/23	j-invariant
L	0.61981683444366	L(r)(E,1)/r!
Ω	0.61981683444366	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	1472k1 184d1 13248e1 36800p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1472g1

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
+	-3	0	-2	0	5	-6	-6	-	-9	3	8	3	8	7	2	-4	10	-8	7	9	-6	14	16	6

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Quadratic twists for elliptic curve 1472g1

-4	8	-3	5	-7	-23
1472k1	184d1	13248e1	36800p1	72128x1	33856u1

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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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