What is your ``birthday elliptic curve''? (Q690433)
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scientific article; zbMATH DE number 6110668
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | What is your ``birthday elliptic curve''? |
scientific article; zbMATH DE number 6110668 |
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What is your ``birthday elliptic curve''? (English)
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27 November 2012
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If you write your birthday in the form \(N =\text{DDMMYYYY}\), then you may ask how to construct an elliptic curve \(X: y^2 = x^3 + ax + b\) defined over a suitably chosen finite field \(\mathbb F_p\) such that \(| E(\mathbb F_p)| = N\). The authors show how this can be done using the theory of complex multiplication.
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elliptic curve
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complex multiplication
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class invariants
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