You can play the beta right now at http://spellsofgenesis.com/play in your webbrowser.
Register on the main site first then you'll be able to login and play.
You get 5 free cards to start with.
Blockchain-based cards are available at http://bitcrystals.com where you'll also find more info on SoG and BitCrystals.
Game is work in progress but playable and all the cards you own can be used vs opponents.
There is a private beta of the Android and iOS versions for Player and Partner life time members who contributed to the token sale,
they get "early beta access".
I don't think it'll be much longer before the mobile beta is available to the public as it's scheduled for February as part of Milestone #3.