Base field 4.4.7488.1
Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 4 x^{2} + 2 x + 1 \); class number \(1\).
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 11.2-a over 4.4.7488.1
Isogeny class 11.2-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 11.2-a1 | \( \bigl[a^{2} - 2 a - 2\) , \( -a - 1\) , \( a^{2} - 2 a - 2\) , \( -a^{3} + 3 a^{2} + a - 6\) , \( a^{2} + 2 a - 4\bigr] \) |