In this paper, we give a ‘direct’ construction of the endomorphism ring of supersingular elliptic curves over a prime field Fp from ‘ideal classes’ of Q( √−p). We use the result to prove that the result of Kaneko on ‘minimal’ CM liftings of such supersingular elliptic curves is a best possible result. We also prove that the result of Elkies on ‘minimal’ CM liftings of all supersingular elliptic...

in this note we review a simple criterion, due to ekedahl, for superspecial curves defined over finite fields.using this we generalize and give some simple proofs for some well-known superspecial curves.

Effect of geometry on crushing behavior, energy absorption and failure mode of woven roving jute fiber/epoxy laminated composite tubes were experimentally studied. Investigations were carried out on three different geometrical types of composite tubes (circular, square and radial corrugated) subjected to axial compressive loading. It was observed in axial crushing study that the load bearing ca...

We study the automorphisms of modular curves associated to Cartan subgroups $\mathrm{GL}_2(\mathbb Z/n\mathbb Z)$ and certain their normalizers. prove that if $n$ is large enough, all are induced by ramified covering complex upper half-plane. get new results for non-split prime level $p\ge 13$: curve $X_{\text{ns}}^+(p)$ has no non-trivial automorphisms, whereas $X_{\text{ns}}(p)$ exactly one a...

We extend the algorithm of [DG02] and [DP06] for computing p-adic Darmon points on elliptic curves to the case of composite conductor. We also extend the algorithm of [DL03] for computing ATR Darmon points to treat curves of nontrivial conductor. Both cases involve an algorithmic decomposition into elementary matrices in congruence subgroups Γ1(N) for ideals N in certain rings of S-integers. We...

A numerical impact study is presented on a Formula Student (FS) racing car carbon composite nose cone. The effect of material model and model parameter selection on the numerical deceleration curves is discussed in light of the experimental deceleration data. The models show reasonable correlation in terms of the shape of the deceleration-displacement curves but do not match the peak decelerati...

abstractin this paper, we investigate effect of fe–intermetallic compounds on plastic deformation of closed-cell composite aluminum foam as filler of thin-walled tubes. however, deformation of the aluminum foam-filled thin-walled tubes as crushed-box will be presented in part (ii). composite foams of alsi7sic3 and alsi7sic3-(fe) as closed cell were synthesized by powder metallurgy foaming metho...

AbstractIn this paper, we investigate effect of Fe–intermetallic compounds on plastic deformation of closed-cell composite Aluminum Foam as filler of thin-walled tubes. However, deformation of the Aluminum foam-filled thin-walled tubes as crushed-box will be presented in Part (II). Composite foams of AlSi7SiC3 and AlSi7SiC3-(Fe) as closed cell were synthesized by powder metallurgy foaming metho...