We extend the formulae of classical invariant theory for the Jacobian of a genus one curve of
degree n≤ 4 to curves of arbitrary degree. To do this, we associate to each genus one …

Let $ K $ be a number field and $ S $ a finite set of places of $ K $ containing all
archimedean places. In this paper, we show that the second moment of the number of $ S …

An invariant of a model of genus one curve is a polynomial in the coefficients of the model
that is stable under certain linear transformations. The classical example of an invariant is …

For every a in I, there exists an element a of I such that a+ a= a+ a= 0. For all a, b in I, a+ b=
b+ a.(Although these properties are expressed most conveniently in the above form for our …