Cremona's table of elliptic curves

75 = 3 · 5²

Field	Data	Notes
Atkin-Lehner	3+ 5-	Signs for the Atkin-Lehner involutions
Conductor	75	Conductor
Count	2	Number of curves in isogeny class
Curves	75a1 75a2	Curves in isogeny class
deg	6	Modular degree for the optimal curve
Eigenvalues	2 3+ 5- -3  2  1  2 -5	Hecke eigenvalues for primes less than 20
L	1.4025399402162	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1200r 4800bf 225e 75c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 75a

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	+	-	-3	2	1	2	-5	6	10	-3	2	-8	1	2	-4	-10	7	-3	-8	-14	0	6	0	17

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Quadratic twists for isogeny class 75a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41
1200r	4800bf	225e	75c	3675q	9075j	12675s	21675z	27075w	39675w	63075v	72075bo	102675o	126075be

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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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