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	75c1 75c2	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	0.62723492949639	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1200k 4800e 225d 75a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 75c

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 75c

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41
1200k	4800e	225d	75a	3675f	9075n	12675bb	21675i	27075i	39675bi	63075d	72075m	102675t	126075l

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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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