# Tagged Questions

For questions regarding elliptic curves. Questions on ellipses should be tagged [conic-sections] instead.

0answers
37 views

0answers
98 views

### Fermat's Last Theorem

Is there any relationship between BSD conjecture and Fermat's Last Theorem? What is the importance of the analytic degree of the L-function of an elliptic curve stated in the BSD conjecture in Fermat'...
1answer
77 views

### Are elliptic curves algebraic varieties?

I got a short question. Are elliptic cubes also algebraic varietes? Say we have $E:y^2=x^3+5x=:f(x)$ Then we can $f(x)=x(x^2+5)$ So it can't be an algebraic variety.. I feel like I am totally ...
1answer
73 views

### How can we continuously deform a height 1 formal group law into a height 2 formal group law?

A Quick Review: The complex elliptic curve $\mathbb{C}/(\mathbb{Z} + \tau \mathbb{Z})$ may be rewritten using the exponential, $\text{exp(}{2 \pi i \tau}) =: q$ as $\mathbb{C}^\times/q^\mathbb{Z}$ . ...
1answer
54 views

### Rational maps between elliptic curves

I dont understand the definition of rational maps. Here is the definition: Let $E_1$ and $E_2$ be elliptic curves over a field $K$. (projectively written). A rational map $\Phi:E_1\rightarrow E_2$ ...
1answer
35 views

### Example of Constant Morphism

I am reading Basic Theory of Elliptic Curves, there I came about a statement saying : A Morphism of curves is either Surjective or Constant. While studying Isogenes I came across examples of ...
1answer
46 views

1answer
80 views

1answer
52 views

### Birational Equvalence of Twisted Edwards and Montgomery curves

I'm trying to understand the birational equivalence between Twisted Edwards and Montgomery curves and try to calculate some examples. In particular, as an example, I'm looking at the Ed25519 Twisted ...