Base field 4.4.8768.1
Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 5 x^{2} + 6 x + 7 \); class number \(1\).
Elliptic curves in class 28.4-c over 4.4.8768.1
Isogeny class 28.4-c contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
28.4-c1 | \( \bigl[a^{3} - a^{2} - 4 a\) , \( -a^{2} + 2\) , \( a + 1\) , \( -2 a^{3} - 2 a^{2} + 7 a + 8\) , \( a^{3} - 2 a^{2} - 9 a - 5\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)