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 71.1-f over 4.4.6125.1
Isogeny class 71.1-f contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 71.1-f1 | \( \bigl[2 a^{3} + 3 a^{2} - 11 a - 12\) , \( -a^{3} - a^{2} + 6 a + 3\) , \( 1\) , \( -a^{3} + 8 a + 2\) , \( 6 a^{3} + 8 a^{2} - 38 a - 36\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
