Quadratic forms and elliptic curves. II (Q676773)
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scientific article; zbMATH DE number 993546
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quadratic forms and elliptic curves. II |
scientific article; zbMATH DE number 993546 |
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Quadratic forms and elliptic curves. II (English)
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10 December 1997
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In this part II, the author shows that for an elliptic curve \(E:Y^2= X^3+AX^2+BX\) over \(k\), there is a quadratic space (\(V,q)\) over \(k\), and a pair \(A_w,B_w\) as constructed in part I of this paper (see the preceding review), such that \(E=E_w\). So we have simple conditions on \(A\) and \(B\) to get a non-torsion point on \(E\). [For part III see the following review].
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quadratic space
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non-torsion point
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