Cremona's table of elliptic curves

150 = 2 · 3 · 5²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+	Signs for the Atkin-Lehner involutions
Conductor	150	Conductor
Count	8	Number of curves in isogeny class
Curves	150c1 150c2 150c3 150c4 150c5 150c6 150c7 150c8	Curves in isogeny class
deg	48	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+  4  0 -2 -6 -4	Hecke eigenvalues for primes less than 20
L	1.4990368329452	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1200p 4800w 450g 30a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 150c

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 150c

-4	8	-3	5	-7	-11	13	17	-19	-23	29
1200p	4800w	450g	30a	7350cj	18150m	25350i	43350dd	54150bb	79350cr	126150bc

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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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