History of $q$-expansion of the Eisenstein series $E_4$

+Title: $q$-expansion of the Eisenstein series $E_4$.+Definition: This list contains the coefficients of the  Eisenstein series $E_4(\tau)$+  CITE{Wiki} in its $q$-expansion,  $E_4 = \sum_{n=0}^{\infty} a_n q^n$, where $q+  = e^{2\pi i\tau}$.+Parameters:+  n:+    type: Z+    constraints: $n \geq 0$+Comments:+  comment-normalization: Note that different authors use different normalizations+    for Eisenstein series. Here, we use the normalization that makes  the constant+    coefficient $a_0 = 1$.+Formulas:+  formula-explicit-q-expansion: $E_4(\tau) = 1 + 240 \sum_{n=1}^\infty \frac{n^3q^n}{1-q^n}$.+Programs:+  program-sage:+    language: Sage+    code: "numbers = {n: eisenstein_series_qexp(4,101,\n                  normalization='constant')[n]\+      \ \n              for n in [0..100]}"+References: {}+Links:+  Wiki:+    title: 'Wikipedia: Eisenstein series'+    url: https://en.wikipedia.org/wiki/Eisenstein_series+Similar tables: ''+Keywords: ''+Tags:+- Taylor series+- modular function+- elliptic curves+- number theory+Data properties:+  type: Z+  complete: 'no'+Display properties:+  number-header: $a_n$+Numbers:+  '0': '1'+  '1': '240'+  '2': '2160'+  '3': '6720'+  '4': '17520'+  '5': '30240'+  '6': '60480'+  '7': '82560'+  '8': '140400'+  '9': '181680'+  '10': '272160'+  '11': '319680'+  '12': '490560'+  '13': '527520'+  '14': '743040'+  '15': '846720'+  '16': '1123440'+  '17': '1179360'+  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