# Elliptic

• (adj): Characterized by extreme economy of expression or omission of superfluous elements.
Example: "The dialogue is elliptic and full of dark hints"
Synonyms: elliptical

### Some articles on elliptic:

Szpiro's Conjecture
... between the conductor and the discriminant of an elliptic curve ... states that given ε > 0, there exists a constant C(ε) such that for any elliptic curve E defined over Q with minimal discriminant Δ and conductor f, we have The modified Szpiro conjecture states that given ε > 0 ...
Liouville Dynamical System - Example of Bicentric Orbits - Solution
... Introducing elliptic coordinates, the potential energy can be written as and the kinetic energy as This is a Liouville dynamical system if ξ and η are taken as φ1 and φ2, respectively thus, the ...
Counting Points On Elliptic Curves
... An important aspect in the study of elliptic curves is devising effective ways of counting points on the curve ... and Digital Signature Authentication (See elliptic curve cryptography and elliptic curve DSA) ... effective use of the difficulty of the discrete logarithm problem (DLP) for the group, of elliptic curves over a finite field, where q = pk and p is ...
Lehmer's Conjecture - Elliptic Analogues
... Let be an elliptic curve defined over a number field, and let be the canonical height function ... The canonical height is the analogue for elliptic curves of the function ... The elliptic Lehmer conjecture asserts that there is a constant such that for all non-torsion points , where ...
Trace Zero Cryptography
... feature a better scalar multiplication performance than elliptic curves ... with a factor 3 compared with elliptic curves and hence speed up the cryptosystem ... This is not the case, for example, in elliptic curve cryptography when the group of points of an elliptic curve over a prime field is used for cryptographic purpose ...

### More definitions of "elliptic":

• (adj): Containing or characterized by ellipsis.
Synonyms: elliptical
• (adj): Of a leaf shape; in the form of an ellipse.