Heegner's lemma

Template:Short description In mathematics, Heegner's lemma is a lemma used by Kurt Heegner in his paper on the class number problem. His lemma states that if

$y^2=a_4{x}^4+a_3{x}^3+a_2{x}^2+a_{1}x+a_0$

is a curve over a field with a₄ not a square, then it has a solution if it has a solution in an extension of odd degree.

References

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