Geodesic
Application of Eichler's reduction formula to the representation of numbers by certain quaternary quadratic forms
Matematičeskie zametki, Tome 9 (1971) no. 1, pp. 71-76

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It is shown how Eichler's formula can be used to obtain exact formulas for the number of representations of positive integers by certain positive-definite quadratic forms of principal type in four variables, in terms of traces of Frobenius endomorphisms of appropriate elliptic curves over fields of finite characteristic; as examples, some new exact formulas are derived. 
@article{MZM_1971_9_1_a9,
     author = {O. M. Fomenko},
     title = {Application of {Eichler's} reduction formula to the representation of numbers by certain quaternary quadratic forms},
     journal = {Matemati\v{c}eskie zametki},
     pages = {71--76},
     publisher = {mathdoc},
     volume = {9},
     number = {1},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1971_9_1_a9/}
}
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O. M. Fomenko. Application of Eichler's reduction formula to the representation of numbers by certain quaternary quadratic forms. Matematičeskie zametki, Tome 9 (1971) no. 1, pp. 71-76. http://geodesic.mathdoc.fr/item/MZM_1971_9_1_a9/