Cremona's table of elliptic curves

27456 = 2⁶ · 3 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 11+ 13+	Signs for the Atkin-Lehner involutions
Conductor	27456	Conductor
Count	6	Number of curves in isogeny class
Curves	27456x1 27456x2 27456x3 27456x4 27456x5 27456x6	Curves in isogeny class
deg	24576	Modular degree for the optimal curve
Eigenvalues	2+ 3-  2  0 11+ 13+  2 -4	Hecke eigenvalues for primes less than 20
L	3.1972810217379	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	27456br 3432g 82368bu	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for isogeny class 27456x

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	+	+	2	-4	0	2	-8	2	2	4	8	-6	4	2	12	16	2	16	-4	-6	2

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Quadratic twists for isogeny class 27456x

-4	8	-3
27456br	3432g	82368bu

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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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