Base field 4.4.9909.1
Generator \(a\), with minimal polynomial \( x^{4} - 6 x^{2} - 3 x + 3 \); class number \(1\).
Elliptic curves in class 25.1-a over 4.4.9909.1
Isogeny class 25.1-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
25.1-a1 | \( \bigl[a^{3} - a^{2} - 3 a + 2\) , \( -a + 1\) , \( a\) , \( -4 a^{3} - a^{2} + 2 a - 2\) , \( -17 a^{3} - 13 a^{2} + 14 a - 1\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)