You can ascend your Battleship once it reaches certain levels. View its attributes and ascension path in the "Ship" tab at the bottom left of the main screen.
- 1st Ascension: Level 15
- 2nd Ascension: Level 30
- 3rd Ascension: Level 60
- 4th Ascension: Level 80
Tap the ship icons on the ascension path to preview base attributes and skills. Ascension can be reset using Diamonds.