Cremona's table of elliptic curves

9024 = 2⁶ · 3 · 47

Field	Data	Notes
Atkin-Lehner	2+ 3+ 47+	Signs for the Atkin-Lehner involutions
Class	9024c	Isogeny class
Conductor	9024	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	3328	Modular degree for the optimal curve
Δ	4795723584 = 26 · 313 · 47	Discriminant
Eigenvalues	2+ 3+  1  1  3 -2  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-695,6453]	[a1,a2,a3,a4,a6]
Generators	[4:61:1]	Generators of the group modulo torsion
j	580928771584/74933181	j-invariant
L	4.2101453028481	L(r)(E,1)/r!
Ω	1.3207757360814	Real period
R	3.1876307141582	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	9024u1 4512m1 27072z1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 9024c1

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	1	3	-2	0	0	-1	1	-8	7	-2	8	+	-12	-14	-2	4	0	-4	-3	-4	0	-7

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Quadratic twists for elliptic curve 9024c1

-4	8	-3
9024u1	4512m1	27072z1

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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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