Base field 4.4.10889.1
Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 5 x^{2} + 2 x + 1 \); class number \(1\).
Elliptic curves in class 8.1-a over 4.4.10889.1
Isogeny class 8.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 8.1-a1 | \( \bigl[a^{2} - 3\) , \( a^{3} - a^{2} - 6 a + 3\) , \( a^{2} - 2\) , \( 11 a^{3} - 17 a^{2} - 34 a + 4\) , \( -14 a^{3} + 26 a^{2} + 19 a + 13\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
