Base field 4.4.16609.1
Generator \(a\), with minimal polynomial \( x^{4} - 7 x^{2} - x + 9 \); class number \(1\).
Elliptic curves in class 9.1-a over 4.4.16609.1
Isogeny class 9.1-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
9.1-a1 | \( \bigl[a^{3} - 4 a\) , \( -a^{3} + 2 a^{2} + 3 a - 6\) , \( a^{2} - 3\) , \( a^{2} - 3 a\) , \( -3 a^{3} + 5 a^{2} + 13 a - 18\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)