### Some articles on *elliptic*:

Szpiro's Conjecture

... between the conductor and the discriminant of an

... 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

... 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

... An important aspect in the study of

**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 -

... Let be an

**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

... 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.

- (
*adj*): Rounded like an egg.

Synonyms: egg-shaped, elliptical, oval, ovate, oviform, ovoid, prolate

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