Cremona's table of elliptic curves

1200 = 2⁴ · 3 · 5²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+	Signs for the Atkin-Lehner involutions
Conductor	1200	Conductor
Count	6	Number of curves in isogeny class
Curves	1200a1 1200a2 1200a3 1200a4 1200a5 1200a6	Curves in isogeny class
deg	128	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+  0 -4  2 -2  4	Hecke eigenvalues for primes less than 20
L	2.2570981600125	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	600d 4800cb 3600k 48a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1200a

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
+	+	+	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 1200a

-4	8	-3	5	-7
600d	4800cb	3600k	48a	58800dm

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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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