JAIST Repository: Elliptic Curves Suitable for Cryptosystems

We list in Table 1 examples of elliptic curves with minimal discriminant achieving growth to each possible torsion group over Q

(The origin is in the center of each figure.) We see features of quadratic-like mappings in the parameter spaces, but the setting of elliptic functions allows us to prove the

The theorem also implies that all p-adic L-functions for elliptic curves at odd primes p of semi-stable ordinary reductions are integral elements in the Iwasawa algebra.. See

Let E /Q be a modular elliptic curve, and p > 3 a good ordinary or semistable prime.. Under mild hypotheses, we prove an exact formula for the µ-invariant associated to

It is well known that an elliptic curve over a finite field has a group structure which is the product of at most two cyclic groups.. Here L k is the kth Lucas number and F k is the

There is a unique Desargues configuration D such that q 0 is the von Staudt conic of D and the pencil of quartics is cut out on q 0 by the pencil of conics passing through the points

Based on the asymptotic expressions of the fundamental solutions of 1.1 and the asymptotic formulas for eigenvalues of the boundary-value problem 1.1, 1.2 up to order Os −5 ,

The correspondence between components of the locus of limit linear series and Young tableaux is defined so that on the elliptic curves C i whose indices do not appear in the