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

DOI registrant

Springer Nature

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.

Verification

Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.

Does it back the claim? Not recorded. Neither this nor any other of the 2 citations of this work carries a recorded support check.

Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.

See how references were verified.

Registry ID ref:cbd06cf1b1ce · see in the full table