Cremona's table of elliptic curves

48 = 2⁴ · 3

Field	Data	Notes
Atkin-Lehner	2+ 3-	Signs for the Atkin-Lehner involutions
Conductor	48	Conductor
Count	6	Number of curves in isogeny class
Curves	48a1 48a2 48a3 48a4 48a5 48a6	Curves in isogeny class
deg	2	Modular degree for the optimal curve
Eigenvalues	2+ 3- -2  0 -4 -2  2  4	Hecke eigenvalues for primes less than 20
L	0.8428751774063	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	24a 192d 144b 1200a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 48a

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 48a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47
24a	192d	144b	1200a	2352c	5808o	8112k	13872b	17328f	25392g	40368c	46128f	65712j	80688e	88752f	106032n

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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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