Tables of New Modular Hyperelliptic Curves
Table |
genus |
Jacobian |
|||
2 |
-simple |
- |
96 |
||
2 |
-simple |
- |
53 |
||
2 |
No -simple |
- |
64 |
||
3 |
-simple |
1 |
3000* |
14 |
|
4 |
-simple |
1 |
3000* |
13 |
|
5 |
-simple |
1 |
3000* |
3 |
|
3 |
No -simple |
1 |
2000** |
32 |
|
4 |
No -simple |
1 |
2000** |
7 |
|
6 |
No -simple |
1 |
2000** |
1 |
|
3 |
- |
3 |
5 |
||
3 or 4 |
- |
, |
7 |
||
4 |
- |
1, otherwise |
600 |
5 |
* All
the curves with genus > 2, > 1, jacobian -simple
and level 3000 have genus 3, 4 or 5.
** All the curves with genus > 2, > 1, jacobian No -simple
and level 2000 have genus 3, 4 or 6.
These tables appear in