Base field 4.4.15188.1
Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 7 x^{2} + x + 2 \); class number \(1\).
Elliptic curves in class 16.4-c over 4.4.15188.1
Isogeny class 16.4-c contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
16.4-c1 | \( \bigl[a\) , \( a^{2} - 3\) , \( a\) , \( -\frac{1}{2} a^{3} + 4 a^{2} - \frac{1}{2} a\) , \( -\frac{1}{2} a^{3} + 9 a^{2} - \frac{35}{2} a + 7\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)