Gonality of the modular curve \(X_0(N)\)

Two results on \(x^r+y^r=dz^p\)

Cyclic isogenies of elliptic curves over fixed quadratic fields

Computing quadratic points on modular curves 𝑋₀(𝑁)

On r-isogenies over $$\mathbb {Q}(\zeta _r)$$ of elliptic curves with rational j-invariants

An Algorithm for Determining Torsion Growth of Elliptic Curves

Quadratic points on bielliptic modular curves

Splitting of primes in number fields generated by points on some modular curves

Counting elliptic curves with prescribed level structures over number fields

Irreducibility of mod p Galois representations of elliptic curves with multiplicative reduction over number fields

Q-curves over odd degree number fields

Torsion of elliptic curves over Zp extensions of Q

Elliptic curves over totally real cubic fields are modular

Torsion of Q-curves over quadratic fields

Growth of torsion groups of elliptic curves upon base change

Torsion of elliptic curves over cyclic cubic fields

Torsion points on rational elliptic curves over the compositum of all cubic fields

Isogenies of non-CM elliptic curves with rational j-invariants over number fields

Tamagawa Numbers of elliptic curves with C-13 torsion over quadratic fields

Fields of definition of elliptic curves with prescribed torsion

A criterion to rule out torsion groups for elliptic curves over number fields

Torsion of rational elliptic curves over cubic fields

Torsion of rational elliptic curves over cubic fields and sporadic points on X_1(n)

The growth of the rank of Abelian varieties upon extensions

On the number of n-isogenies of elliptic curves over number fields

The number of twists with large torsion of an elliptic curve

Hyperelliptic modular curves X0(n) and isogenies of elliptic curves over quadratic fields

On the number of elliptic curves with prescribed isogeny or torsion group over number fields of prime degree

Products of three factorials

Some rank records for elliptic curves with prescribed torsion over quadratic fields

Ranks of elliptic curves with prescribed torsion over number fields

False complex multiplication

Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization

Torsion of elliptic curves over cubic fields

Exceptional elliptic curves over quartic fields

Torsion groups of elliptic curves over quadratic fields

On the largest prime factor of x^2 - 1

Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization

Torsion of elliptic curves over quadratic cyclotomic fields

Large strings of consecutive smooth integers

Mordell-Weil groups of elliptic curves over number fields of small degree

Torsion groups of elliptic curves over quadratic fields

Elliptic curves over finite fields with fixed subgroups

Compact representation of quadratic integers and integer points on some elliptic curves

Torsion of elliptic curves over quadratic fields

Smooth values of some quadratic polynomials

The Diophantine equation x^4 +- y^4 = iz^2 in Gaussian integers

Complete classification of torsion of elliptic curves over quadratic cyclotomic fields

On the largest prime factor of n^2-1

Integer points on two families of elliptic curves

Solving Pell equations