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	4	Number of curves in isogeny class
Curves	150a1 150a2 150a3 150a4	Curves in isogeny class
deg	8	Modular degree for the optimal curve
Eigenvalues	2- 3- 5- -2  2 -6 -2  0	Hecke eigenvalues for primes less than 20
L	1.7692592482524	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1200m 4800l 450c 150b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 150a

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

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Quadratic twists for isogeny class 150a

-4	8	-3	5	-7	-11	13	17	-19	-23	29
1200m	4800l	450c	150b	7350cc	18150bp	25350bq	43350cn	54150m	79350dv	126150n

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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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