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

Cyclic isogenies of elliptic curves over fixed quadratic fields

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

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

Counting elliptic curves with prescribed level structures over number fields

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

Torsion of elliptic curves over Zp extensions of Q

Q-curves over odd degree number fields

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

Torsion of Q-curves over quadratic fields

Growth of torsion groups of elliptic curves upon base change

Elliptic curves over totally real cubic fields are modular

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

The growth of the rank of Abelian varieties upon extensions

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

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

Torsion of rational elliptic curves over cubic fields

The number of twists with large torsion of an elliptic curve

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

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

Exceptional elliptic curves over quartic fields

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

Torsion groups of elliptic curves over quadratic fields

Torsion of elliptic curves over cubic fields

False complex multiplication

Large strings of consecutive smooth integers

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

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

On the largest prime factor of x^2 - 1

Torsion of elliptic curves over quadratic cyclotomic fields

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

Complete classification of torsion of elliptic curves over quadratic cyclotomic fields

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

Elliptic curves over finite fields with fixed subgroups

Torsion of elliptic curves over quadratic fields

Smooth values of some quadratic polynomials

Torsion groups of elliptic curves over quadratic fields

On the largest prime factor of n^2-1

Solving Pell equations

Integer points on two families of elliptic curves