Cremona's table of elliptic curves

600 = 2³ · 3 · 5²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+	Signs for the Atkin-Lehner involutions
Conductor	600	Conductor
Count	6	Number of curves in isogeny class
Curves	600a1 600a2 600a3 600a4 600a5 600a6	Curves in isogeny class
deg	192	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+  0 -4 -6  6 -4	Hecke eigenvalues for primes less than 20
L	1.8182269342928	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1200e 4800r 1800r 120a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 600a

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	-6	6	-4	0	-2	-8	2	-6	-12	-8	-6	12	14	-4	8	6	-8	12	10	-2

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Quadratic twists for isogeny class 600a

-4	8	-3	5	-7	-11	13
1200e	4800r	1800r	120a	29400bt	72600cl	101400cb

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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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