Timeline for How to conclude good reduction from $\mathcal{P} \nmid m$?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Jun 13, 2017 at 13:48 | vote | accept | anama | ||
| Jun 13, 2017 at 9:25 | answer | added | Chris Wuthrich | timeline score: 0 | |
| Jun 13, 2017 at 9:17 | comment | added | Chris Wuthrich | @reuns "up to rational map" is a very bad idea if you want to talk about reduction. If you change a curve by a quadratic twist, the $j$-invariant stays the same but the reduction property changes. | |
| Jun 12, 2017 at 16:25 | comment | added | reuns | I meant the elliptic curve is up to a rational map $zy^2 = 4x^3 - gxz^2-gz^3,g=\frac{27 j}{j-1728}$ that you can reduce $\mod \mathcal{P}$ and check it is non-singular. Maybe it meant the points in $E[m]$ have coordinates $\not \in\mathcal{P}$ ? | |
| Jun 12, 2017 at 15:50 | comment | added | anama | Do you mean the "discriminant" with "gradient"? Not sure if i understood what you say. where do i need then the condition? | |
| Jun 12, 2017 at 15:36 | review | First posts | |||
| Jun 12, 2017 at 15:39 | |||||
| Jun 12, 2017 at 15:31 | history | asked | anama | CC BY-SA 3.0 |