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Old 2020-10-06, 13:18   #1
wildrabbitt
 
Jul 2014

1101111112 Posts
Default finding unimodular substitutions

Hi,


does anyone know a method for finding a unimodular substitution from one
binary quadratic form ( \( ax^2 + bxy + cy^2 \) ) to another given that they are equivalent?


I'd like a find a unimodal substitution



\(x\prime = \alpha x + \beta y \)


\(y\prime = \gamma x + \delta y \)




with integer coefficients which transforms



\(29x^2 + 256xy + 565y^2\) into \(x^2 + y^2 \)


Can anyone help?

Last fiddled with by wildrabbitt on 2020-10-06 at 13:24 Reason: latex wasn't coming out right
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