Unfortunately, the `padic_regulator`

method does not handle the `descent_second_limit`

argument, which can not be directly increased :

```
sage: reg = x.padic_regulator(p,prec=7, descent_second_limit=20); reg
TypeError: padic_regulator() got an unexpected keyword argument 'descent_second_limit'
```

A workaround can be the following,

There is also a problem when computing the `gens`

of `x`

as well:

```
sage: x.gens()
RuntimeError: Unable to compute the rank, hence generators, with certainty (lower bound=0, generators found=[]). This could be because Sha(E/Q)[2] is nontrivial.
Try increasing descent_second_limit then trying this command again.
```

But you can compute the `gens`

of `x`

with a higher `descent_second_limit`

argument:

```
sage: x.gens(descent_second_limit=20)
[(94248114183274/1566972225 : 912499854364645191562/62028595526625 : 1)]
```

Fortunately the gens are cached so further calls of this method will not require a higher `descent_second_limit`

argument to be set:

```
sage: x.gens()
[(94248114183274/1566972225 : 912499854364645191562/62028595526625 : 1)]
```

In particular, now you can compute the `padic_regulator`

:

```
sage: reg = x.padic_regulator(p,prec=7); reg
2*7 + 5*7^2 + 6*7^3 + 5*7^4 + 3*7^5 + 3*7^6 + O(7^7)
```

I agree that this is tricky, and i consider your problem as a bug.