Geodesic
ON THE NUMBER OF ELLIPTIC CURVES WITH PRESCRIBED ISOGENY OR TORSION GROUP OVER NUMBER FIELDS OF PRIME DEGREE
Glasgow mathematical journal, Tome 57 (2015) no. 2, pp. 465-473

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Let p be a prime and K a number field of degree p. We determine the finiteness of the number of elliptic curves, up to K-isomorphism, having a prescribed property, where this property is either that the curve contains a fixed torsion group as a subgroup or that it has a cyclic isogeny of prescribed degree. 
NAJMAN, FILIP. ON THE NUMBER OF ELLIPTIC CURVES WITH PRESCRIBED ISOGENY OR TORSION GROUP OVER NUMBER FIELDS OF PRIME DEGREE. Glasgow mathematical journal, Tome 57 (2015) no. 2, pp. 465-473. doi: 10.1017/S0017089514000421
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     author = {NAJMAN, FILIP},
     title = {ON {THE} {NUMBER} {OF} {ELLIPTIC} {CURVES} {WITH} {PRESCRIBED} {ISOGENY} {OR} {TORSION} {GROUP} {OVER} {NUMBER} {FIELDS} {OF} {PRIME} {DEGREE}},
     journal = {Glasgow mathematical journal},
     pages = {465--473},
     year = {2015},
     volume = {57},
     number = {2},
     doi = {10.1017/S0017089514000421},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089514000421/}
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