# On the torsion of elliptic curves over cubic number fields

@inproceedings{Jeon2004OnTT,
title={On the torsion of elliptic curves over cubic number fields},
author={Daeyeol Jeon and Chang Heon Kim and Andreas Schweizer},
year={2004}
}
Actually, each of these groups occurs infinitely often as E(Q)tors. (By infinitely often in this context we always mean for infinitely many absolutely non-isomorphic E, or in other words, for infinitely many different j-invariants j(E).) This is mainly due to the fact that the modular curves parametrizing elliptic curves with such a torsion structure are rational and hence have infinitely many Q-rational points. See [Ku, Table 3] for the explicit parametrization of elliptic curves E such that E… CONTINUE READING

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