Base field 4.4.10309.1
Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 6 x^{2} + 8 x - 1 \); class number \(1\).
Elliptic curves in class 9.2-b over 4.4.10309.1
Isogeny class 9.2-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 9.2-b1 | \( \bigl[0\) , \( a^{3} - 5 a + 3\) , \( 1\) , \( -a^{3} + a^{2} + 6 a - 8\) , \( -2 a^{3} + 2 a^{2} + 12 a - 17\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
