Cremona's table of elliptic curves

175 = 5² · 7

Field	Data	Notes
Atkin-Lehner	5- 7-	Signs for the Atkin-Lehner involutions
Class	175a	Isogeny class
Conductor	175	Conductor
∏ cp	10	Product of Tamagawa factors cp
Δ	-2100875 = -1 · 53 · 75	Discriminant
Eigenvalues	-2 -1 5- 7- -3 -1 -7  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-148,748]	[a1,a2,a3,a4,a6]
Generators	[-13:17:1]	Generators of the group modulo torsion
j	-2887553024/16807	j-invariant
L	0.69773403150523	L(r)(E,1)/r!
Ω	2.6245205398761	Real period
R	0.66462999708337	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	5	Number of elements in the torsion subgroup
Twists	2800y2 11200bo2 1575k2 175c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 175a2

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 elliptic curve 175a2

-4	8	-3	5	-7	-11	13	17	-19	-23
2800y2	11200bo2	1575k2	175c2	1225j2	21175be2	29575r2	50575bc2	63175y2	92575ba2

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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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