Thank you very much for your message.
I used simon_two_descent(), for [0,0,0,- 9588522241, 399039337488961],
but Sage says " name 'ans' is not defined". I do not know what 'ans'
is.
Best,
Raman


On 2/6/14, William Stein <[email protected]> wrote:
> On Wed, Feb 5, 2014 at 1:06 PM, raman kurdi <[email protected]>
> wrote:
>> Hi Sage,
>>
>> I have some curves with rank at least 4. But I can not compute the
>> rank by Mwrank. I use (' -p 200 -v 0').
>> Could you please help me?
>>
>
> You might find this example useful, which shows your first curve has rank
> 5.
>
> sage: E = EllipticCurve((0, 0, 0, -591361, 144600625))
> sage: %time E.simon_two_descent()    # output implies rank of 2-selmer is
> 5...
> CPU times: user 744 ms, sys: 40 ms, total: 784 ms
> Wall time: 1.99 s
> (5,
>  5,
>  [(281 : 785 : 1),
>   (600 : 2405 : 1),
>   (625 : 4375 : 1),
>   (719 : 9545 : 1),
>   (769 : 12025 : 1)])
> sage: E.root_number()    # means rank is odd
> -1
>
> The algorithm used by simon_two_descent is different than the one in
> mwrank, and works better to get info about the rank in some cases.
>
> William
>
>> Best,
>> Raman
>>
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>
>
> --
> William Stein
> Professor of Mathematics
> University of Washington
> http://wstein.org
>
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