Geodesic
Eisenstein formula and Dirihlet correspondence
Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 1, Tome 469 (2018), pp. 7-31

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We obtain an exact formula for the number of integral points in the system of ellipses related according to Dirichlet with an arbitrary imaginary quadratic field. The relation of this formula to arithmetic Riemann–Roch theorems is discussed. So far it has been known only nine similar formulas. They correspond to the imaginary quadratic fields with the trivial class group. 
@article{ZNSL_2018_469_a0,
     author = {D. A. Artyushin and A. L. Smirnov},
     title = {Eisenstein formula and {Dirihlet} correspondence},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {7--31},
     publisher = {mathdoc},
     volume = {469},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2018_469_a0/}
}
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D. A. Artyushin; A. L. Smirnov. Eisenstein formula and Dirihlet correspondence. Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 1, Tome 469 (2018), pp. 7-31. http://geodesic.mathdoc.fr/item/ZNSL_2018_469_a0/