Base field 4.4.12725.1
Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 10 x^{2} + 11 x + 29 \); class number \(1\).
Elliptic curves in class 25.1-f over 4.4.12725.1
Isogeny class 25.1-f contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
25.1-f1 | \( \bigl[1\) , \( a^{2} - a - 7\) , \( a^{3} - a^{2} - 6 a + 1\) , \( -a^{3} + 7 a + 7\) , \( 5 a^{2} - 7 a - 29\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)