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 25.1-a over 4.4.6125.1
Isogeny class 25.1-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
25.1-a1 | \( \bigl[0\) , \( 0\) , \( a^{3} + 2 a^{2} - 6 a - 8\) , \( -12 a^{3} - 19 a^{2} + 73 a + 60\) , \( -50 a^{3} - 59 a^{2} + 276 a + 216\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)