Non-existence of elliptic curves with small conductors over imaginary quadratic fields (Q1378328)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Non-existence of elliptic curves with small conductors over imaginary quadratic fields |
scientific article; zbMATH DE number 1117482
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-existence of elliptic curves with small conductors over imaginary quadratic fields |
scientific article; zbMATH DE number 1117482 |
Statements
Non-existence of elliptic curves with small conductors over imaginary quadratic fields (English)
0 references
11 March 1998
0 references
The author proves a number of results on the existence (and non-existence) of elliptic curves over given imaginary quadratic fields with given conductors. The fields concerned are mainly \(\mathbb Q(\sqrt{-1})\) and \(\mathbb Q(\sqrt{-3})\), and the author mentions that his technique can be extended for example to \(\mathbb Q(\sqrt{-2})\) and \(\mathbb Q(\sqrt{-7})\).
0 references
elliptic curves over imaginary quadratic fields
0 references
0.8196529150009155
0 references
0.7838411927223206
0 references
0.7795302867889404
0 references
0.7785372138023376
0 references
