Assertion: elliptic curve | /r/HasProperty | defined over complex numbers
Facets:
Source sentences:
text: For an elliptic curve defined over the complex numbers the group is isomorphic to the additive group of the complex plane modulo the period lattice of the corresponding elliptic functions.
text: Using the theory of elliptic functions, it can be shown that elliptic curves defined over the complex numbers correspond to embeddings of the torus into the complex projective plane.