Matthias Schütt, Tetsuji Shioda
Abstract
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We study the elliptic modular surface attached to the commutator subgroup of the modular group. This has an elliptic curve as base and only one singular fibre. We employ an algebraic approach and then consider some arithmetic questions.
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We study the elliptic modular surface attached to the commutator subgroup of the modular group. This has an elliptic curve as base and only one singular fibre. We employ an algebraic approach and then consider some arithmetic questions.
Key concepts: Modular elliptic curve, Elliptic curve, Mathematics, Modular design, Surface (topology), Base (topology), Supersingular elliptic curve, Schoof's algorithm