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Old 2021-01-26, 13:44   #7
RedGolpe
 
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Aug 2006
Monza, Italy

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You want the cardinality of the group generated by your elliptic curve to have as many small factors as possible. The specific form of the curves generated by the sigma parameters ensure that such cardinality is divisible by 4 (if I remember correctly, for old versions) or 12 (new versions). Sigma starting with "0:" or "1:" denote the old and new version, respectively.
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