ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Tue, 25 May 2021 20:50:23 +0200"Curve" function error: 'list' object is not callablehttps://ask.sagemath.org/question/57273/curve-function-error-list-object-is-not-callable/Hello!
I am trying to work with the curve constructor (particularly affine curves) in sage using their built in functions. I am using this page as reference: https://doc.sagemath.org/html/en/reference/curves/sage/schemes/curves/affine_curve.html
But when I try to define curves like below I get the `'list' object not callable` error message every time, even when I copy and paste code from the sage reference manual.
`A.<x,y> = AffineSpace(QQ, 2)`
`C = Curve(x^2 + y^2 -1)`
I understand that it probably thinks `Curve` is a list or something, but I'm not sure how to fix it?
Any help would be greatly appreciated!b17Tue, 25 May 2021 20:50:23 +0200https://ask.sagemath.org/question/57273/How to convert coordinates of a point from y^2=x^3+7 curve to y^2=x^3+4 curve?https://ask.sagemath.org/question/53181/how-to-convert-coordinates-of-a-point-from-y2x37-curve-to-y2x34-curve/`p = 115792089237316195423570985008687907853269984665640564039457584007908834671663`
`E4 = EllipticCurve(GF(p), [0,4])`
`E7 = EllipticCurve(GF(p), [0,7])`
`base_x = 0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798`
`base_y = 0x483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8`
`#Basepoint of $y^2=x^3+7$`
`BP = E7(base_x, base_y, 1)$`
`#Point on $y^2=x^3+7$`
`Q=BP * x`
`Q = E([81119306557295043947776230900539651493257160932663731932698523086255548483211,69833235478127881789123626297864036834549011744885041054439092651501655231589])`
`#base point of $y^2=x3+4$`
`BasePoint2(
[44959049921401095561708555029356671875656137150174062590365663013295388555357, 83434812528180346320431259926231725911951822121210091498845843183726829396473])`
- How to convert coordinates of $Q(x,y)$ on $y^2=x3+7$ to coordinates in $y^2=x3+4$ ? Code needed(SAGE, Python etc.).DuglasTue, 25 Aug 2020 22:32:10 +0200https://ask.sagemath.org/question/53181/The modular tower of curves over a finite field.https://ask.sagemath.org/question/53092/the-modular-tower-of-curves-over-a-finite-field/I want to investigate the tower of modular curves $X(\ell^n) \to X(1)$ over a finite field $\mathbb F_q$ with $\ell \neq 0 0 \in \mathbb F_q$ and pullbacks of this tower by maps $C \to X(1)$.
In particular, I want to investigate the characteristic polynomial of the Frobenius on the $\ell$-adic cohomology. If I knew defining equations for $X(n)$ in terms of the parameter $t$ on $X(1)$, I guess I could do it but I am not sure... AsvinTue, 18 Aug 2020 07:55:32 +0200https://ask.sagemath.org/question/53092/