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Checking eigenforms in SAGE

How to check if a half-integer weight form is an eigenform in SAGE and determine its eigenvalues and eigenvectors? For Eg., If f(z) = eta(24z)^(11), how does one find the q-series expansion of f | T_{p^2}? There seems to be a documentation in integer weight cases only.

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updated 1 year ago

Max Alekseyev gravatar image

Checking eigenforms in SAGE

How to check if a half-integer weight form is an eigenform in SAGE and determine its eigenvalues and eigenvectors? For Eg., If f(z) $f(z) = eta(24z)^(11), \eta(24z)^(11)$, how does one find the q-series expansion of f $f | T_{p^2}? T_{p^2}$? There seems to be a documentation in integer weight cases only. only.

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updated 1 year ago

FrédéricC gravatar image

Checking eigenforms in SAGE

How to check if a half-integer weight form is an eigenform in SAGE and determine its eigenvalues and eigenvectors? For Eg., If f(z)=η(24z)(11), how does one find the q-series expansion of f|Tp2? There seems to be a documentation in integer weight cases only.

click to hide/show revision 4
None

updated 1 year ago

FrédéricC gravatar image

Checking eigenforms in SAGE

How to check if a half-integer weight form is an eigenform in SAGE and determine its eigenvalues and eigenvectors? For Eg., If $f(z) = \eta(24z)^(11)$, \eta(24z)^{11}$, how does one find the q-series expansion of f|Tp2? There seems to be a documentation in integer weight cases only.