Cremona's table of elliptic curves

72 = 2³ · 3²

Field	Data	Notes
Atkin-Lehner	2+ 3-	Signs for the Atkin-Lehner involutions
Conductor	72	Conductor
Count	6	Number of curves in isogeny class
Curves	72a1 72a2 72a3 72a4 72a5 72a6	Curves in isogeny class
deg	4	Modular degree for the optimal curve
Eigenvalues	2+ 3-  2  0 -4 -2 -2 -4	Hecke eigenvalues for primes less than 20
L	0.97326842113756	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	144b 576d 24a 1800s	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 72a

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	-4	-2	-2	-4	8	-6	8	6	6	4	0	2	-4	-2	-4	-8	10	-8	4	6	2

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Quadratic twists for isogeny class 72a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41
144b	576d	24a	1800s	3528l	8712y	12168q	20808l	25992bc	38088i	60552q	69192l	98568t	121032f

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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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