2,3,5, legendre: ±trace ratios in families of elliptic curves

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Abstract

For a given integer A and various families of elliptic curves over finite fields, we compare the number of occurrences of A with the number of occurrences of-A as the trace of Frobenius in the family.

Original languageEnglish (US)
Pages (from-to)267-277
Number of pages11
JournalExperimental Mathematics
Volume19
Issue number3
DOIs
StatePublished - Dec 1 2010

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • Canonical lifting
  • Elliptic curve
  • Finite field
  • Trace of Frobenius

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