Genus 2 curves in isogeny class 65280.e
Label | Equation |
---|---|
65280.e.130560.1 | \(y^2 + y = -28x^6 - 86x^5 - 57x^4 + 45x^3 + 49x^2 - x - 7\) |
L-function data
Analytic rank: | \(0\) | ||||||||||||||||
Mordell-Weil rank: | \(0\) | ||||||||||||||||
Bad L-factors: |
| ||||||||||||||||
Good L-factors: |
| ||||||||||||||||
See L-function page for more information |
Sato-Tate group
\(\mathrm{ST} =\) $\mathrm{USp}(4)$
Decomposition of the Jacobian
Simple over \(\overline{\Q}\)
Endomorphisms of the Jacobian
Not of \(\GL_2\)-type over \(\Q\)
Endomorphism algebra over \(\Q\):
\(\End (J_{}) \otimes \Q \) | \(\simeq\) | \(\Q\) |
\(\End (J_{}) \otimes \R\) | \(\simeq\) | \(\R\) |
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.