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	27456p1 27456p2 27456p3 27456p4 27456p5 27456p6	Curves in isogeny class
deg	32768	Modular degree for the optimal curve
Eigenvalues	2+ 3+  2  0 11- 13+ -6  4	Hecke eigenvalues for primes less than 20
L	1.8272601659042	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	27456bz 429b 82368w	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for isogeny class 27456p

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

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Quadratic twists for isogeny class 27456p

-4	8	-3
27456bz	429b	82368w

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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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