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Gross lattices of supersingular elliptic curves

open access: yes
24 pages, code available at https://github.com/gkorpal/minimal ...
He, Chenfeng   +3 more
openaire   +2 more sources

Orienteering with One Endomorphism. [PDF]

open access: yesMathematica (N Y), 2023
Arpin S   +5 more
europepmc   +1 more source

The algebraic functional equation of an elliptic curve at supersingular primes [PDF]

open access: yesMathematical Research Letters, 2008
Since the analytic functional equation holds for the $\pm$-$p$-adic $L$-functions constructed in \cite{pol}, the algebraic functional equation for the $\pm$-Selmer groups is expected to hold as well. In this paper, we show it following the ideas of \cite{gre1} and \cite{kim}.
openaire   +2 more sources

Improved supersingularity testing of elliptic curves

open access: yesJSIAM Letters, 2021
Yuji Hashimoto   +2 more
openaire   +2 more sources

The parity conjecture for elliptic curves at supersingular reduction primes [PDF]

open access: yesCompositio Mathematica, 2007
In number theory, the Birch and Swinnerton-Dyer (BSD) conjecture for a Selmer group relates the corank of a Selmer group of an elliptic curve over a number field to the order of zero of the associated is a good supersingular reduction prime.
openaire   +2 more sources

Towards Green Computing Oriented Security: A Lightweight Postquantum Signature for IoE. [PDF]

open access: yesSensors (Basel), 2021
Rani R   +7 more
europepmc   +1 more source

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