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 25.1-b over 4.4.8789.1
Isogeny class 25.1-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
25.1-b1 | \( \bigl[1\) , \( -2 a^{3} + 3 a^{2} + 10 a\) , \( 1\) , \( 5 a^{3} - 9 a^{2} - 24 a + 8\) , \( -13 a^{3} + 22 a^{2} + 62 a - 18\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)