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	150b1 150b2 150b3 150b4	Curves in isogeny class
deg	40	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5-  2  2  6  2  0	Hecke eigenvalues for primes less than 20
L	0.79123678978251	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1200q 4800bd 450a 150a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 150b

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 150b

-4	8	-3	5	-7	-11	13	17	-19	-23	29
1200q	4800bd	450a	150a	7350bl	18150ch	25350ch	43350bq	54150cv	79350t	126150de

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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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