Base field \(\Q(\zeta_{11})^+\)
Generator \(a\), with minimal polynomial \( x^{5} - x^{4} - 4 x^{3} + 3 x^{2} + 3 x - 1 \); class number \(1\).
Elliptic curves in class 131.3-a over \(\Q(\zeta_{11})^+\)
Isogeny class 131.3-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
131.3-a1 | \( \bigl[a^{4} + a^{3} - 4 a^{2} - 2 a + 3\) , \( -a^{2} - a + 2\) , \( a^{3} - 3 a\) , \( -a^{2} - a + 1\) , \( 0\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)