Cremona's table of elliptic curves

27744 = 2⁵ · 3 · 17²

Field	Data	Notes
Atkin-Lehner	2- 3- 17+	Signs for the Atkin-Lehner involutions
Conductor	27744	Conductor
Count	4	Number of curves in isogeny class
Curves	27744bb1 27744bb2 27744bb3 27744bb4	Curves in isogeny class
deg	18432	Modular degree for the optimal curve
Eigenvalues	2- 3- -2 -4  4 -2 17+  4	Hecke eigenvalues for primes less than 20
L	4.9319530008618	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	27744f 55488j 83232m 96b	Quadratic twists by: -4 8 -3 17

Hecke Eigenvalues for isogeny class 27744bb

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	-4	4	-2	+	4	0	-2	4	2	-2	-4	-8	10	4	-6	-4	-16	6	4	-12	10	14

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Quadratic twists for isogeny class 27744bb

-4	8	-3	17
27744f	55488j	83232m	96b

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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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