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ON j-INVARIANTS OF WEIERSTRASS EQUATIONS

  • Horiuchi, Ryutaro
  • Published : 2008.05.31

Abstract

A simple proof of the fact that the j-invariants for Weierstrass equations are invariant under birational transformations which keep the forms of Weierstrass equations is given by finding a non-trivial explicit birational transformation which sends a normalized Weierstrass equation to the same equation.

Keywords

j-invariant;Weierstrass equation;elliptic curve;coverings;Riemann surface of genus one

References

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