Titlebook: Algorithmic Number Theory; 7th International Sy Florian Hess,Sebastian Pauli,Michael Pohst Conference proceedings 2006 Springer-Verlag Berl

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Algorithmic Number Theory978-3-540-36076-6Series ISSN 0302-9743 Series E-ISSN 1611-3349

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0302-9743 Overview: 978-3-540-36075-9978-3-540-36076-6Series ISSN 0302-9743 Series E-ISSN 1611-3349

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https://doi.org/10.1007/978-3-658-17981-6ort on significant recent progress in enlarging the database of elliptic curves defined over ℚ to include all those of conductor .≤130000. We also give various statistics, summarize the data, describe how it may be obtained and used, and mention some recent work regarding the verification of Manin’s “.=1” conjecture.

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Operation in einem Privathause,tension’. The polynomials do not only give all the quintic cyclic extensions over the rationals by choosing the parameters but also classify all such extensions. Some arithmetic properties of the polynomials are also derived.

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