2017-05-13 01:46:33 +0200 | received badge | ● Famous Question (source) |
2017-03-29 21:58:18 +0200 | received badge | ● Notable Question (source) |
2017-03-28 16:02:41 +0200 | received badge | ● Student (source) |
2017-03-26 13:47:23 +0200 | received badge | ● Popular Question (source) |
2012-01-28 23:54:28 +0200 | received badge | ● Supporter (source) |
2012-01-28 23:34:33 +0200 | asked a question | How to define an element in a space of Modular Forms and express it as a linear combination of basis elements? Hello, I was trying to solve Exercise 1.4.5 in Alvaro Lozano-Robledo's book Elliptic Curves, Modular Forms and Their L-functions, which is about representations of integers as sums of 6 squares and its relation to the theta function $$\Theta(q) = \sum_{j = -\infty}^{\infty} q^{j^2} $$ I need to define the space of modular forms $M_3(\Gamma_1(4))$ in SAGE, which I already did and find a basis for this 2-dimensional space. I was able to this without any problems.
I've already searched in the SAGE manual but I only found how to define Eisenstein series and the like. I apologize if my questions are not very well formulated. Thank you very much in advance for any help. |