A heuristic for boundedness of ranks of elliptic curves
We present a heuristic that suggests that ranks of elliptic curves E over Q are bounded. In fact, it suggests that there are only finitely many E of rank greater than 21. Our heuristic is based on modeling the ranks and Shafarevich-Tate groups of elliptic curves simultaneously, and relies on a theor...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
European Mathematical Society Publishing House
2020
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| Online Access: | https://hdl.handle.net/1721.1/124997 |