If you want to remove Effect Core the you have to remove depended scripts too. Follow this to remove them:
add_action( 'wp_enqueue_scripts', 'remove_jquery_effects', 100 );
function remove_jquery_effects()
{
wp_dequeue_script( 'jquery-effects-core' );
wp_dequeue_script( 'jquery-effects-blind' );
wp_dequeue_script( 'jquery-effects-bounce' );
wp_dequeue_script( 'jquery-effects-clip' );
wp_dequeue_script( 'jquery-effects-drop' );
wp_dequeue_script( 'jquery-effects-explode' );
wp_dequeue_script( 'jquery-effects-fade' );
wp_dequeue_script( 'jquery-effects-fold' );
wp_dequeue_script( 'jquery-effects-highlight' );
wp_dequeue_script( 'jquery-effects-pulsate' );
wp_dequeue_script( 'jquery-effects-scale' );
wp_dequeue_script( 'jquery-effects-shake' );
wp_dequeue_script( 'jquery-effects-slide' );
wp_dequeue_script( 'jquery-effects-transfer' );
}
Add this to your functions.php
file. It’s remove the script from front end.