Relation To Modular Invariants
The modular invariants and of an elliptic curve are given by the first two terms of the Eisenstein series as
and
The article on modular invariants provides expressions for these two functions in terms of theta functions.
Read more about this topic: Eisenstein Series
Famous quotes containing the words relation to and/or relation:
“It would be disingenuous, however, not to point out that some things are considered as morally certain, that is, as having sufficient certainty for application to ordinary life, even though they may be uncertain in relation to the absolute power of God.”
—René Descartes (15961650)
“Concord is just as idiotic as ever in relation to the spirits and their knockings. Most people here believe in a spiritual world ... in spirits which the very bullfrogs in our meadows would blackball. Their evil genius is seeing how low it can degrade them. The hooting of owls, the croaking of frogs, is celestial wisdom in comparison.”
—Henry David Thoreau (18171862)