Base field 4.4.4205.1
Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 5 x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 23.1-c over 4.4.4205.1
Isogeny class 23.1-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 23.1-c1 | \( \bigl[0\) , \( -2 a^{3} + 3 a^{2} + 9 a + 1\) , \( 1\) , \( -a^{2} + 2 a + 6\) , \( -2 a^{3} + 2 a^{2} + 8 a\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
