Abstract
Using the j-invariant on the modular curve X0 (43) which is bielliptic and non-hyperelliptic, we construct a family of ℚ-curves and we prove their modularity under some conditions.
| Original language | English |
|---|---|
| Pages (from-to) | 1025-1035 |
| Number of pages | 11 |
| Journal | Houston Journal of Mathematics |
| Volume | 34 |
| Issue number | 4 |
| Publication status | Published - 2008 Dec 1 |
| Externally published | Yes |
Keywords
- ℚ-curves
- Modular curves
- Modularity
ASJC Scopus subject areas
- Mathematics(all)
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Cite this
Yamauchi, T. (2008). The modularity of ℚ-curves of degree 43. Houston Journal of Mathematics, 34(4), 1025-1035.