Are you in an alliance? Easy way to get these would be every 3 days alliance events and the weekly SA as long as your alliance is contributing enough points for the events.
If you're talking about Tier 1 Alpha Catalysts... I twice got 18,000 fragments from the Epic difficulty Rifts for a total of 36,000 fragments. That’s 12 fully formed T1A! So just do the Epic difficulty Temporal Heist Rifts and you might get very lucky.
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am i strong enough to go epic battles