History of Rational singular moduli

back to table · edit · history · where entries came from · files

compare when who what
2026-08-13 22:07 bmatschke how well the digits are known: exact (type Z) current
2026-08-09 09:15 flattening entries rewritten as records with named parameters
2026-08-09 08:35 data-repository import the current state of the data repository reviewed
2021-05-16 21:39 bmatschke from the data repository, a236a610
2021-05-16 13:58 bmatschke from the data repository, 35ced2ed

The first version, 2021-05-16 13:58

from line 1 (46 lines, 46 more than before) @@ -0,0 +1,46 @@
+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' 

Sign in to restore an earlier version.