Functions and differentials on the non-split Cartan modular curve of level 11
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The genus 4 modular curve Xns(11) attached to a non-split Cartan group of level 11 admits a model defined over Q. We compute generators for its function field in terms of Siegel modular functions. We also show that its Jacobian is isomorphic over Q to the new part of the Jacobian of the classical modular curve X0(121)
CitationFernandez, J., Gonzalez, J. Functions and differentials on the non-split Cartan modular curve of level 11. "Mathematics of computation", 1 Gener 2017, vol. 86, núm. 303, p. 437-454.