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	8	Number of curves in isogeny class
Curves	1200j1 1200j2 1200j3 1200j4 1200j5 1200j6 1200j7 1200j8	Curves in isogeny class
deg	384	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+  0  4  2 -2 -4	Hecke eigenvalues for primes less than 20
L	1.4277224468968	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	75b 4800cd 3600bf 240d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1200j

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	0	-2	0	10	10	4	8	10	4	-2	12	8	-10	0	12	-6	-2

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Quadratic twists for isogeny class 1200j

-4	8	-3	5	-7
75b	4800cd	3600bf	240d	58800it

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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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