Base field 6.6.592661.1
Generator \(a\), with minimal polynomial \( x^{6} - x^{5} - 5 x^{4} + 4 x^{3} + 5 x^{2} - 2 x - 1 \); class number \(1\).
Elliptic curves in class 13.1-a over 6.6.592661.1
Isogeny class 13.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 13.1-a1 | \( \bigl[a^{5} - 4 a^{3} + 2 a\) , \( a^{5} - a^{4} - 4 a^{3} + 3 a^{2} + a\) , \( a^{2} + a - 1\) , \( -2 a^{4} - a^{3} + 6 a^{2} - 2\) , \( 0\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
