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	2	Number of curves in isogeny class
Curves	175a1 175a2	Curves in isogeny class
deg	8	Modular degree for the optimal curve
Eigenvalues	-2 -1 5- 7- -3 -1 -7  0	Hecke eigenvalues for primes less than 20
L	0.69773403150523	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2800y 11200bo 1575k 175c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 175a

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	-1	-	-	-3	-1	-7	0	-6	-5	2	-2	2	4	3	-6	10	-8	-2	-8	-6	-5	4	0	-7

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Quadratic twists for isogeny class 175a

-4	8	-3	5	-7	-11	13	17	-19	-23
2800y	11200bo	1575k	175c	1225j	21175be	29575r	50575bc	63175y	92575ba

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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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