Vuejs form not submitting on "enter"

Make sure that your form has either

<button type="submit">Submit</button>

or

<input type="submit" value="Submit" />

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If you don't want to show the button, you can use

<input type="submit" style="position: absolute; left: -9999px"/>

You can find more information about hiding the button in this question Submitting a form by pressing enter without a submit button