1 | initial version |

I tried the code from your question, one command per line, without the 'show' commands.

**Your question about free_module**

The command `M11.free_module()`

did not produce any error in Sage 6.3.beta6.
Everything worked except the command about newforms.

**The error with the method newforms**

If you have a quick look at the documentation for the method `newforms`

, which you can access by

```
sage: M11.newforms?
```

you will see that the examples all involve spaces of cusp forms.

Indeed the following works.

```
sage: CuspForms(11).newforms()
[q - 2*q^2 - q^3 + 2*q^4 + q^5 + O(q^6)]
```

**Your first question: why \QQ7 is red?**

When you ask `show(M11.modular_symbols())`

, the output is rendered using LaTeX, and QQ7 appears in bold as $\mathbf{Q}_7$. Maybe you don't have LaTeX installed, and when you viewed the output the boldface was rendered as red? Where was the output rendered?

**Full output of the code you provided**

For reference this was the output when running your commands, slightly reordered.

```
sage: version() # for reference
'Sage Version 6.3.beta6, Release Date: 2014-07-19'
sage: M11 = ModularForms(11,2,base_ring=Qp(7,10))
sage: M11
Modular Forms space of dimension 2 for Congruence Subgroup Gamma0(11) of weight 2 over 7-adic Field with capped relative precision 10
sage: M11.modular_symbols()
Modular Symbols space of dimension 3 for Gamma_0(11) of weight 2 with sign 0 over 7-adic Field with capped relative precision 10
sage: M11.level()
11
sage: M11.weight()
2
sage: M11.character()
Dirichlet character modulo 11 of conductor 1 mapping 2 |--> 1
sage: M11.dimension()
2
sage: M11.group().order()
+Infinity
sage: M11.group().gens()
(
[1 1] [ 7 -2] [ 8 -3] [-1 0]
[0 1], [11 -3], [11 -4], [ 0 -1]
)
sage: M11.newforms()
[<repr(<sage.modular.modform.element.Newform at 0x1136915a0>) failed: IndexError: list index out of range>]
sage: M11.free_module()
Vector space of dimension 2 over 7-adic Field with capped relative precision 10
sage: M11.hecke_module_of_level(1)
Modular Forms space of dimension 0 for Modular Group SL(2,Z) of weight 2 over 7-adic Field with capped relative precision 10
```

2 | No.2 Revision |

I tried the code from your question, one command per line, without the 'show' commands.

**Your question about free_module**

The command `M11.free_module()`

did not produce any error in Sage 6.3.beta6.
Everything worked except the command about newforms.

**The error with the method newforms**

If you have a quick look at the documentation for the method `newforms`

, which you can access by

```
sage: M11.newforms?
```

you will see that the examples all involve spaces of cusp forms.

Indeed the following works.

```
sage: CuspForms(11).newforms()
[q - 2*q^2 - q^3 + 2*q^4 + q^5 + O(q^6)]
```

**Your first question: why \QQ7 is red?**

When you ask `show(M11.modular_symbols())`

, the output is rendered using LaTeX, and ~~QQ7 ~~the 7-adic field appears in bold as $\mathbf{Q}_7$. Maybe you don't have LaTeX installed, and when you viewed the output the boldface was rendered as red? Where was the output rendered?

**Full output of the code you provided**

For reference this was the output when running your commands, slightly reordered.

```
sage: version() # for reference
'Sage Version 6.3.beta6, Release Date: 2014-07-19'
sage: M11 = ModularForms(11,2,base_ring=Qp(7,10))
sage: M11
Modular Forms space of dimension 2 for Congruence Subgroup Gamma0(11) of weight 2 over 7-adic Field with capped relative precision 10
sage: M11.modular_symbols()
Modular Symbols space of dimension 3 for Gamma_0(11) of weight 2 with sign 0 over 7-adic Field with capped relative precision 10
sage: M11.level()
11
sage: M11.weight()
2
sage: M11.character()
Dirichlet character modulo 11 of conductor 1 mapping 2 |--> 1
sage: M11.dimension()
2
sage: M11.group().order()
+Infinity
sage: M11.group().gens()
(
[1 1] [ 7 -2] [ 8 -3] [-1 0]
[0 1], [11 -3], [11 -4], [ 0 -1]
)
sage: M11.newforms()
[<repr(<sage.modular.modform.element.Newform at 0x1136915a0>) failed: IndexError: list index out of range>]
sage: M11.free_module()
Vector space of dimension 2 over 7-adic Field with capped relative precision 10
sage: M11.hecke_module_of_level(1)
Modular Forms space of dimension 0 for Modular Group SL(2,Z) of weight 2 over 7-adic Field with capped relative precision 10
```

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