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Line 130: ==References== {{reflist}} {{cite ~~paper~~journal \|last1=Bernstein \|first1=Daniel J. \|last2=Birkner \|first2=Peter \|last3=Lange \|first3=Tanja \|last4=Peters \|first4=Christiane \|title=ECM using Edwards curves \|journal=Mathematics of Computation \|year=2013 \| volume=82 \| number=282 \|doi=10.1090/S0025-5718-2012-02633-0 \| mr=3008853 \| pages=1139–1179 }} {{cite book \|last1=Bosma \|first1=W. \|last2=Hulst \|first2=M. P. M. van der \|title=Primality proving with cyclotomy \|publisher=Ph.D. Thesis, Universiteit van Amsterdam \|year=1990 \|oclc=256778332 }} {{cite journal \|last=Brent \|first=Richard P. \|title=Factorization of the tenth Fermat number \|journal=Mathematics of Computation \|volume=68 \|issue=225 \|year=1999 \|pages=429–451 \|doi=10.1090/S0025-5718-99-00992-8 \|bibcode=1999MaCom..68..429B \| mr=1489968\|doi-access=free }} {{cite book \|last=Cohen \|first=Henri \|title=A Course in Computational Algebraic Number Theory \|volume=138 \|publisher=Springer-Verlag \|___location=Berlin \|year=1993 \|isbn=978-0-387-55640-6 \| mr=1228206 \| doi=10.1007/978-3-662-02945-9\|series=Graduate Texts in Mathematics }} {{cite journal \|last=Cosset \|first=R. \|title=Factorization with genus 2 curves \|journal=Mathematics of Computation \|volume=79 \|issue=270 \|year=2010 \|pages=1191–1208 \|doi=10.1090/S0025-5718-09-02295-9 \| mr=2600562\|arxiv=0905.2325 \|bibcode=2010MaCom..79.1191C \|s2cid=914296 }} {{cite book \|editor1-link=Arjen Lenstra \|editor1-last=Lenstra \|editor1-first=A. K. \|editor2-last=Lenstra Jr. \|editor2-first=H. W. \|title=The development of the number field sieve \|series=Lecture Notes in Mathematics \|volume=1554 \|publisher=Springer-Verlag \|___location=Berlin \|year=1993 \|mr=1321216 \| doi=10.1007/BFb0091534\|isbn=978-3-540-57013-4 \|url=http://infoscience.epfl.ch/record/164684 }} *{{cite journal \|last=Lenstra Jr. \|first=H. W. \|title=Factoring integers with elliptic curves \|journal=[[Annals of Mathematics]] \|volume=126 \|year=1987 \|issue=3 \|pages=649–673 \|mr=0916721 \|doi=10.2307/1971363 \|url=https://openaccess.leidenuniv.nl/bitstream/handle/1887/2140/346_079.pdf?sequence=1 \|jstor=1971363 \|hdl=1887/2140 \|hdl-access=free }}

Lenstra elliptic-curve factorization: Difference between revisions