Thesis

### Equations for modular curves

Abstract:

The primary topic of this thesis is the construction of explicit projective equations for the modular curves $X_0(N)$. The techniques may also be used to obtain equations for $X_0^+(p)$ and, more generally, $X_0(N) / W_n$. The thesis contains a number of tables of results. In particular, equations are given for all curves $X_0(N)$ having genus $2 le g le 5$. Equations are also given for all $X_0^+(p)$ having genus 2 or 3, and for the genus 4 and 5 curves $X_0^+(p)$ when $p le 251$. The mos...

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### Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
Number Theory
Oxford college:
St Cross College
Role:
Author
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Division:
MPLS
Department:
Mathematical Institute
Role:
Author

#### Contributors

Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
More from this funder
Funding agency for:
Galbraith, S
Publication date:
1996
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
UUID:
uuid:4b893bc3-f4fe-4877-872a-6a7dd4d5c76d
Local pid:
ora:5500
Deposit date:
2011-06-24

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