Why do elliptic curves have group structures?
119796
Group Law for an Elliptic curve
35961
In what sense of "structure" do group homomorphisms "preserve structure"?
93404
J-invariant and isomorphism of elliptic curves over $\mathbb{Q}$
109801
multiplicative group of infinite fields
38130
Complex structure on $\mathbb{C}\mathbb{P}^2\# \dots \# \mathbb{C}\mathbb{P}^2$
68422
Understanding Lagrange's Theorem (Group Theory)
100658
Are "pushforward" and "pullback by zero section" of diffrentials isomorphic in elliptic curves?
80514
Why are elliptic curves constructed using prime fields and not composite fields?
68733
If $G/Z(G)$ is cyclic then $G$ is abelian – what is the point?
4648
Proving that $\mathbb{Z}_m\oplus \mathbb{Z}_n \cong \mathbb{Z}_d\oplus \mathbb{Z}_l $ as groups, where $l=\mathrm{lcm}(m,n)$ and $d=\gcd(m,n)$
117538
What is the interpretation of $a \equiv b$ mod $H$ in group theory?
49496
Is every point on an elliptic curve of a prime order group a generator?
129687
Does a Galois group being $S_3$ correspond to the extension being the splitting field of a cubic?
85692
Liftings of curves $u\cdot v$ and $v\cdot u$ with respect to the sine covering map.
41129
Sage code to check independence of rational points on elliptic curve
91969
What are the differences between rings, groups, and fields?
56647
Structure of $Gal(\mathbb{Q}(\zeta_{15})/\mathbb{Q})$?