Genus 2 curves in isogeny class 363.a
Label | Equation |
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363.a.11979.1 | \(y^2 + (x^2 + 1)y = x^5 + 2x^3 + 4x^2 + 2x\) |
363.a.43923.1 | \(y^2 + x^2y = 11x^5 - 13x^4 - 7x^3 + 10x^2 + x - 2\) |
L-function data
Analytic rank: | \(0\) | ||||||||||||||||||||
Bad L-factors: |
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Good L-factors: |
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See L-function page for more information |
Sato-Tate group
\(\mathrm{ST} =\) $G_{3,3}$, \(\quad \mathrm{ST}^0 = \mathrm{SU}(2)\times\mathrm{SU}(2)\)
Endomorphisms of the Jacobian
Of \(\GL_2\)-type over \(\Q\)
All \(\overline{\Q}\)-endomorphisms of the Jacobian are defined over \(\Q\).
More complete information on endomorphism algebras and rings can be found on the pages of the individual curves in the isogeny class.