Base field 4.4.8789.1
Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 6 x^{2} - 2 x + 1 \); class number \(1\).
Elliptic curves in class 29.2-a over 4.4.8789.1
Isogeny class 29.2-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
29.2-a1 | \( \bigl[a^{3} - 2 a^{2} - 3 a + 1\) , \( -a^{3} + 2 a^{2} + 4 a\) , \( a\) , \( -a^{3} + 4 a^{2} - 2 a - 3\) , \( -a^{3} + 4 a^{2} - 2 a - 4\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)