Abstract
The elliptic curve E given by Y 2 + (i+ 1) XY + Y = X 3+X 2 acquires good reduction everywhere over the cyclotomic field ℚ(ζ20). We show, under assumption of GRH, that every abelian variety over ℚ(ζ20) with good reduction everywhere is isogenous to E g for some g ≥ 0.Key wordsabelian varietiesgroup schemesgood reductionMathematical Subject Classification (2000)11G1014L0514L15
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