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- W2495079969 abstract "Let p be an odd prime number and let $$X_0^+(p)$$ be the quotient of the classical modular curve $$X_0(p)$$ by the action of the Atkin–Lehner operator $$w_p$$ . In this paper, we show how to compute explicit equations for the canonical model of $$X_0^+(p)$$ . Then we show how to compute the modular parametrization, when it exists, from $$X_0^+(p)$$ to an isogeny factor E of dimension 1 of its Jacobian $$J_0^+(p)$$ . Finally, we show how to use this map to determine the rational points on $$X_0^+(p)$$ up to a large fixed height." @default.
- W2495079969 created "2016-08-23" @default.
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- W2495079969 date "2017-08-04" @default.
- W2495079969 modified "2023-09-27" @default.
- W2495079969 title "Equations and rational points of the modular curves $$X_0^+(p)$$ X 0 + ( p )" @default.
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- W2495079969 doi "https://doi.org/10.1007/s11139-017-9925-2" @default.
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