The Arithmetic of Elliptic Curves

Silverman, J. H. (2009). The Arithmetic of Elliptic Curves. Springer.

Type

Book

Intellectual base

Review or monograph

Year

2009

DOI

10.1007/978-0-387-09494-6

ISBN

9780387094939

Link

https://doi.org/10.1007/978-0-387-09494-6

Cited by

2 citations across 2 artifacts.

Each citation links to the sentence it supports in the citing article.

Domain-specific

• Mordell–Weil Rank of an Elliptic Curve
  • Together with torsion and a saturated basis, it makes the abstract finite-generation theorem explicit for one curve.

    This sourceStandard specialist treatment of elliptic-curve groups, heights, descent, and Mordell–Weil.

• Mordell–Weil Theorem
  • Modern proofs combine a finite descent quotient with a height descent argument.

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