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Computing weight  modular forms of level  |
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| Authors: | Ariel Pacetti Fernando Rodriguez Villegas with an appendix by B Gross |
| Institution: | Department of Mathematics, University of Texas at Austin, Texas 78712 ; Department of Mathematics, University of Texas at Austin, Texas 78712 ; Department of Mathematics, Harvard University, Cambridge, Massacusetts 02138 |
| Abstract: | For a prime  we describe an algorithm for computing the Brandt matrices giving the action of the Hecke operators on the space  of modular forms of weight  and level  . For  we define a special Hecke stable subspace  of  which contains the space of modular forms with CM by the ring of integers of  and we describe the calculation of the corresponding Brandt matrices. |
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