Base field 4.4.19429.1
Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 7 x^{2} - x + 5 \); class number \(1\).
Elliptic curves in class 9.1-a over 4.4.19429.1
Isogeny class 9.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 9.1-a1 | \( \bigl[a^{3} - a^{2} - 5 a - 2\) , \( -a\) , \( a\) , \( -4 a^{3} + 5 a^{2} + 20 a + 8\) , \( -59 a^{3} + 126 a^{2} + 261 a - 228\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
