Weierstrass points on X₀^+(p) and supersingular j-invariants
classification
🧮 math.NT
keywords
pointsweierstrasscurvesinvariantssupersingulararithmeticcharacteristicelliptic
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We study the arithmetic properties of Weierstrass points on the modular curves $X_0^+(p)$ for primes $p$. In particular, we obtain a relationship between the Weierstrass points on $X_0^+(p)$ and the $j$-invariants of supersingular elliptic curves in characteristic $p$.
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