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| Submitted by |
S.E.Fischer |
| Date |
02-24-2017 |
| Reference |
Not available
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Comments
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| Tags |
Explicit curves |
User comments
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Same Isogeny Class for both examples
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S.E.Fischer
03-20-2018 21:03
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Both examples represent the same isogeny class given by the Real Weil Polynomial (x+49)^5.
This can be seen, since they both allow Galois Descent to (x+1)^5 over GF(25), whereas the only other (not yet excluded) possibility (of an isogeny class) given by the Real Weil Polynomial (x+46)(x+49)(x+50)^3 doesn't show such a possibility.
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A possibly different curve
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Everett Howe
06-27-2017 20:12
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Matthieu Rambaud provides equations for a Shimura curve with 871 points (found in his draft paper "Shimura curves and multiplication"):
3*x^3*y^3 + 2*x^3*y + 4*x^3 + 4*x^2 + 2*x*y^3 + 3*x*y + 3*x + 2 = 0,
3*y^3*z^3 + 2*y^3*z + 4*y^3 + 4*y^2 + 2*y*z^3 + 3*y*z + 3*y + 2 = 0
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User comments
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