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Dec
21
comment Can the pre-image of the real points in the complex upper-half plane of a modular elliptic curve under the modular parametrization be identified?
@ChrisWuthrich Ah, of course, thanks
Dec
21
comment Can the pre-image of the real points in the complex upper-half plane of a modular elliptic curve under the modular parametrization be identified?
@ChrisWuthrich Is it easy to see that complex conjugation corresponds to reflection in the imaginary axis?
Dec
21
comment Can the pre-image of the real points in the complex upper-half plane of a modular elliptic curve under the modular parametrization be identified?
Thanks Will! Do I understand correctly that this is what you're saying: you view $E$ as a quotient of the moduli space $X_0(N)$. Then the real locus maps to a real curve on $E(\Bbb C)$ with the property that the imaginary part of the invariant differential vanishes. On $\mathfrak H$ this differential is $2\pi if(\tau)d\tau$ up to a constant factor and the imaginary part of the differential vanishes on curves over which the imaginary part of the modular form is constant.
Dec
21
comment Can the pre-image of the real points in the complex upper-half plane of a modular elliptic curve under the modular parametrization be identified?
Thanks a lot! Indeed the formulation was very unclear, I meant points of $\mathfrak{H}$ corresponding to real points of $X_0(N)$ or mapping to real points of $E$. I edited the question to make it clearer.
Dec
21
revised Can the pre-image of the real points in the complex upper-half plane of a modular elliptic curve under the modular parametrization be identified?
minor edit
Dec
21
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Dec
21
asked Can the pre-image of the real points in the complex upper-half plane of a modular elliptic curve under the modular parametrization be identified?
May
19
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May
19
revised Hochschild cohomology and formal smoothness
math typesetting
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19
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answered Does the automorphism group of a cone determine the cone?
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Aug
9
comment Math puzzles for dinner
Solution: Chg gur pbva rknpgyl va gur zvqqyr. Gura jurerire lbhe nqirefnel chgf gur pbva, chg vg ng gur fnzr cbfvgvba nsgre ebgngvba ol 180 qrterrf nebhaq gur pragre. (Guvf cbfvgvba vf nyjnlf serr).
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answered Math puzzles for dinner
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6
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