Static Page, need Last and Next links at the bottom

Something like this should work. I’ve added some explanation to the code in comments:

<div class="title text-center">    
    <h1><strong><?php the_title(); ?></strong></h1>
    <img src="https://wordpress.stackexchange.com/questions/356147/<?php echo get_template_directory_uri(); ?>/images/title.png" title="title-line" alt="title-line">
</div>

<div id="no-more-tables" class="legel">
    <?php the_content(); ?>
</div>

<?php
// Get the page from the url e.g. domain.com/articles?paged=2 would be page 2.
$paged = ( get_query_var( 'paged' ) ) ? absint( get_query_var( 'paged' ) ) : 1;

// Use WP_Query instead of get_posts() - it is much better for proper queries.
// get_posts() should only really be used for getting a few posts (e.g. related
// articles)
$category_posts = WP_Query(
    array(
        'posts_per_page' => 5,
        'category'       => '13',
        'paged'          => $paged,
    )
);
?>

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

        <?php the_title(); ?>
        <?php the_content(); ?>

    <?php endwhile; ?>

    <?php
    // Set $big as a massive integer
    $big = 999999999;
    // Echo the pagination (E.g. Prev 1 2 3 3 4 5 Next)
    echo paginate_links(
        array(
            'base'    => str_replace( $big, '%#%', esc_url( get_pagenum_link( $big ) ) ),
            'format'  => '?paged=%#%', // Matches your query above
            'current' => max( 1, get_query_var( 'paged' ) ),
            'total'   => $category_posts->max_num_pages,
        )
    );
    ?>

    <?php wp_reset_postdata(); // This must be run after every WP_Query ?>

<?php else : ?>

    No Posts

<?php endif; ?>