Cremona's table of elliptic curves

450 = 2 · 3² · 5²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+	Signs for the Atkin-Lehner involutions
Conductor	450	Conductor
Count	8	Number of curves in isogeny class
Curves	450g1 450g2 450g3 450g4 450g5 450g6 450g7 450g8	Curves in isogeny class
deg	384	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+  4  0 -2  6 -4	Hecke eigenvalues for primes less than 20
L	1.1963822281327	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	3600bk 14400bo 150c 90c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 450g

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 450g

-4	8	-3	5	-7	-11	13
3600bk	14400bo	150c	90c	22050be	54450gf	76050fb

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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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