Cremona's table of elliptic curves

24 = 2³ · 3

Field	Data	Notes
Atkin-Lehner	2- 3+	Signs for the Atkin-Lehner involutions
Conductor	24	Conductor
Count	6	Number of curves in isogeny class
Curves	24a1 24a2 24a3 24a4 24a5 24a6	Curves in isogeny class
deg	1	Modular degree for the optimal curve
Eigenvalues	2- 3+ -2  0  4 -2  2 -4	Hecke eigenvalues for primes less than 20
L	0.53912891187491	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	48a 192c 72a 600d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 24a

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 24a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53	-59	61	-67	-71	73
48a	192c	72a	600d	1176i	2904d	4056a	6936m	8664g	12696j	20184f	23064m	32856c	40344g	44376f	53016l	67416f	83544c	89304e	107736b	120984h	127896m

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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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