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	1200p1 1200p2 1200p3 1200p4 1200p5 1200p6 1200p7 1200p8	Curves in isogeny class
deg	1152	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+ -4  0 -2 -6  4	Hecke eigenvalues for primes less than 20
L	2.7857614073248	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	150c 4800bp 3600bk 240b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1200p

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
-	-	+	-4	0	-2	-6	4	0	-6	-8	-2	-6	-4	0	6	0	-10	-4	0	-2	-8	12	18	-2

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Quadratic twists for isogeny class 1200p

-4	8	-3	5	-7
150c	4800bp	3600bk	240b	58800fc

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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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