Cremona's table of elliptic curves

1584 = 2⁴ · 3² · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 11-	Signs for the Atkin-Lehner involutions
Conductor	1584	Conductor
Count	4	Number of curves in isogeny class
Curves	1584j1 1584j2 1584j3 1584j4	Curves in isogeny class
deg	768	Modular degree for the optimal curve
Eigenvalues	2- 3+  0 -2 11-  2 -6 -2	Hecke eigenvalues for primes less than 20
L	2.7441828999857	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	198c 6336bi 1584h 39600ce	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1584j

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	-2	-	2	-6	-2	0	-6	4	2	6	10	-12	-12	-12	-10	-8	-12	14	-2	12	0	2

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Quadratic twists for isogeny class 1584j

-4	8	-3	5	-7	-11
198c	6336bi	1584h	39600ce	77616dq	17424bc

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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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