We give an alternative computation of the twisted second moment of critival values of class group $L$-functions attached to an imaginary quadratic field. The method avoids long calculations and yields the expected polynomial growth in the $s$-parameter for the remaining term.
Equidistribution of bounded torsion CM points
Heuristics for $p$-class towers of imaginary quadratic fields, with an Appendix by Jonathan Blackhurst
A note on the distribution of Iwasawa invariants of imaginary quadratic fields
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