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:
“Much poetry seems to be aware of its situation in time and of its relation to the metronome, the clock, and the calendar. ... The season or month is there to be felt; the day is there to be seized. Poems beginning “When” are much more numerous than those beginning “Where” of “If.” As the meter is running, the recurrent message tapped out by the passing of measured time is mortality.”
—William Harmon (b. 1938)
“Any relation to the land, the habit of tilling it, or mining it, or even hunting on it, generates the feeling of patriotism. He who keeps shop on it, or he who merely uses it as a support to his desk and ledger, or to his manufactory, values it less.”
—Ralph Waldo Emerson (1803–1882)