Cremona's table of elliptic curves

744 = 2³ · 3 · 31

Field	Data	Notes
Atkin-Lehner	2+ 3+ 31+	Signs for the Atkin-Lehner involutions
Conductor	744	Conductor
Count	1	Number of curves in isogeny class
Curves	744a1	Curves in isogeny class
deg	32	Modular degree for the optimal curve
Eigenvalues	2+ 3+ -1  1  0 -6  0 -3	Hecke eigenvalues for primes less than 20
L	1.917681406667	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1488e 5952l 2232i 18600y	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 744a

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	0	-6	0	-3	6	0	+	-8	-11	-8	0	4	-11	-8	12	-7	-4	10	14	10	1

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Quadratic twists for isogeny class 744a

-4	8	-3	5	-7	-11	13	-31
1488e	5952l	2232i	18600y	36456n	90024r	125736o	23064f

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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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