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What's an example of 2 elliptic curves with the same ground ring s.t. their associated cohom...
Let me try to be very concrete. (This is more or less just an elucidation of part of Charles's answer.)
Consider the elliptic spectrum $TMF_0(2)$ with $\pi_*TMF_0(2) = \mathbb{Z}[\frac13][b_2,b_4,\De …