Timeline for Determine the CM type of a CM elliptic curve
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
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| May 18, 2022 at 23:57 | comment | added | yhb | Maybe not. $K$ has two embeddings into $\mathbb{C}$, conjugate to each other. So it has two CM-type. CM-type here should mean which embedding $\iota$ we use to get the isogeny from $E$ to $\mathbb{C}/\iota(O_K)$. | |
| May 18, 2022 at 13:38 | comment | added | ali | what do you mean by CM-type? when people say CM-type of an abelian variety they usually mean $(K,\Phi)$ where $K$ is a CM-field and $\Phi$ is a decomposition of embeddings of K into $\mathbb{C}$ satisfy some condition. but in the case of elliptic curve for each $K$ you have only one choice for $\Phi$ so you can ignore it. | |
| May 18, 2022 at 3:37 | history | asked | yhb | CC BY-SA 4.0 |