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+Title: Rational singular moduli+Definition: Let $H$ be the upper half plane and $j$ the $j$-invariant. A singular+ modulus is a number of the form $j(\tau)$ for an imaginary quadratic $\tau \in+ H$. This list contains all rational singula moduli.+Parameters:+ Delta:+ display: $\Delta$+ title: Discriminant+ type: Z+Comments:+ comment-discriminant: $\Delta$ is the associated discriminant of the complex multiplication+ order $O = \text{End}\langle\tau,1\rangle$.+Formulas: {}+Programs:+ program-sage:+ language: Sage+ code: 'numbers = {d*f^2: j for d, f, j in cm_j_invariants_and_orders(QQ)}'+References: {}+Links:+ Wiki:+ title: 'Wikipedia: Singular moduli'+ url: https://en.wikipedia.org/wiki/Complex_multiplication#Singular_moduli+Similar tables: ''+Keywords: ''+Tags:+- number theory+- elliptic curves+Data properties:+ type: Z+ complete: 'yes'+Display properties:+ number-header: $j$+Numbers:+ '-163': '-262537412640768000'+ '-67': '-147197952000'+ '-43': '-884736000'+ '-28': '16581375'+ '-27': '-12288000'+ '-19': '-884736'+ '-16': '287496'+ '-12': '54000'+ '-11': '-32768'+ '-8': '8000'+ '-7': '-3375'+ '-4': '1728'+ '-3': '0'
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