T. Dalal

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math.NT2025

The modular automorphisms of quotient modular curves

Francesc Bars, Tarun Dalal

We obtain the modular automorphism group of any quotient modular curve of level $N$ , with $4, 9 ∤ N$ . In particular, we obtain some non-expected automorphisms of order 3 that app…

math.NT2024

On the vanishing of coefficients of $Î·^{26}

S. Krishnamoorthy, T. Dalal

J.-P. Serre, in his paper [1], established a sufficient condition on $n$ for the $n$ -th coefficient of the series $I^\cdot^{26}$ to vanish. However, the question that whether this is a…

math.NT2024

Infinitely many cubic points on $X_{0} (N) / ⟨ w_{d} ⟩$ with $N$ square-free

Francesc Bars, Tarun Dalal

We determine all modular curves $X_{0} (N) / ⟨ w_{d} ⟩$ that admit infinitely many cubic points over the rational field $Q$ , when $N$ is square-free.

The modular automorphisms of quotient modular curves

On the vanishing of coefficients of $Î·^{26}

Infinitely many cubic points on X0​(N)/⟨wd​⟩ with N square-free

Infinitely many cubic points on $X_{0} (N) / ⟨ w_{d} ⟩$ with $N$ square-free