Minimal number of points with bad reduction for elliptic curves over \(\mathbb{P}^1\)

DOI10.1216/RMJ-2013-43-6-2017zbMath1294.11204arXiv1007.4353MaRDI QIDQ2439541

Johannes Sprang

Publication date: 14 March 2014

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.4353

zbMATH Keywords

function field\(j\)-invariantbad reductionWeierstrass equationelliptic curves over function fields

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Elliptic curves over global fields (11G05) Elliptic curves (14H52) Elliptic curves over local fields (11G07)

Cites Work

• There are no abelian varieties over \(\mathbb Z\).
• Abelian varieties over $\mathbb{Q}$ with bad reduction in one prime only
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