Base field 4.4.6125.1
Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 9 x^{2} + 9 x + 11 \); class number \(1\).
Elliptic curves in class 59.4-c over 4.4.6125.1
Isogeny class 59.4-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 59.4-c1 | \( \bigl[a^{3} + 2 a^{2} - 6 a - 8\) , \( -a^{2} - a + 3\) , \( a\) , \( -9 a^{2} + 11 a + 26\) , \( -5 a^{3} + 22 a^{2} - 13 a - 29\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
