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 197.1-b over \(\Q(\zeta_{11})^+\)
Isogeny class 197.1-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 197.1-b1 | \( \bigl[a^{3} - 2 a\) , \( -a^{2} - a + 1\) , \( a^{3} - 2 a + 1\) , \( -a^{3} - a^{2} + 2 a + 1\) , \( a^{4} - 2 a^{3} - 5 a^{2} + 5 a + 5\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
