Modular forms with large coefficient fields via congruences
- Author(s): Dieulefait, LV
- Urroz, JJ
- Ribet, KA
- et al.
Published Web Locationhttps://link.springer.com/article/10.1007/s40993-015-0003-9
© 2015, Dieulefait et al.; licensee Springer. We use the theory of congruences between modular forms to prove the existence of newforms with square-free level having a fixed number of prime factors such that the degree of their coefficient fields is arbitrarily large. We also prove a similar result for certain almost square-free levels.