A lower bound on the proportion of modular elliptic curves over Galois CM fields

DOI10.1142/s1793042124500246arXiv2203.00731MaRDI QIDQ6193633

Unnamed Author

Publication date: 18 March 2024

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.00731

zbMATH Keywords

elliptic curveslower boundmodularityarithmetic statistics

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Galois representations (11F80)

Cites Work

• On the generic part of the cohomology of compact unitary Shimura varieties
• Monodromy for some rank two Galois representations over CM fields
• Potential automorphy over CM fields
• Elliptic curves with maximal Galois action on their torsion points
• The Arithmetic of Elliptic Curves
• Number fields
• Modularity of \(\mathrm{GL}_2 (\mathbb{F}_p)\)-representations over CM fields

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