Cremona's table of elliptic curves

175 = 5² · 7

Field	Data	Notes
Atkin-Lehner	5+ 7+	Signs for the Atkin-Lehner involutions
Conductor	175	Conductor
Count	3	Number of curves in isogeny class
Curves	175b1 175b2 175b3	Curves in isogeny class
deg	16	Modular degree for the optimal curve
Eigenvalues	0 -1 5+ 7+ -3 -5 -3  2	Hecke eigenvalues for primes less than 20
L	1.0476202635275	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2800s 11200c 1575e 35a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 175b

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
0	-1	+	+	-3	-5	-3	2	6	3	-4	-2	-12	10	-9	-12	0	8	4	0	-2	-1	-12	-12	1

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Quadratic twists for isogeny class 175b

-4	8	-3	5	-7	-11	13	17	-19	-23
2800s	11200c	1575e	35a	1225a	21175r	29575h	50575m	63175d	92575n

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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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