Base field 4.4.6809.1
Generator \(a\), with minimal polynomial \( x^{4} - 5 x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 8.1-a over 4.4.6809.1
Isogeny class 8.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 8.1-a1 | \( \bigl[a^{2} - 2\) , \( -a^{3} + a^{2} + 5 a - 1\) , \( a^{2} + a - 2\) , \( 3 a^{3} - 6 a^{2} - a + 2\) , \( -6 a^{3} + 12 a^{2} + 6 a - 3\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
