Display results in other page – Really stuck

Hi people,

I′m trying to display the results of a serach in a new page.
In every page you can access through the SIDEBAR to the SEARCH FORM.

<form method="get" id="searchform" action="https://127.0.0.1/site/searchs/">
<label class="hidden" for="s"></label>
	<input type="text" value="<?php the_search_query(); ?>" name="s" id="caja" />
	<input type="submit" id="boton" value="SEARCH" />
</form>

I created a new page with a blank template called searchs.php
Also, I added to the pages and put some content.

<?php
/*
Template Name: Searchs
*/
?>

<?php if (have_posts()) : ?>
<?php while (have_posts()) : the_post(); ?>

<?php the_title(); ?>

<?php endwhile; ?>

<div class="navigationpost">
<?php previous_posts_link('<span><img src="/img/img1.png" class="img1" alt="img1" /></span><span class="next-entries">Newer Entries</span>');
?>
<?php next_posts_link('<span class="previous-entries">Older Entries</span><span><img src="/img/img2.png" class="img2" alt="img2" /></span>') ?>

<?php else : ?>

<div class="resultadosdiv">
<span>Sorry: nothing found</span>
<br /><br />

<br /><br />
We could not find contents related to your search.<br />
Try changing the search criteria.<br />
All searches are saved, so, we'll consider your inquire for future material.
<br /><br />

</div>

<?php endif; ?>

But when I try to GET the results using:
https://127.0.0.1/site/searchs/?s=world (ex, world as key to search) it gives me 404 error.

So… I can′t access to the results or the list of them.

If I use that code in the INDEX page I don′t have problems, IT WORKS, but I want to show the results in this page.

Also, I don′t have problems entering to the page: https://127.0.0.1/site/searchs/

Anyone knows where can the problem be?