Base field 3.3.169.1
Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 4 x - 1 \); class number \(1\).
Elliptic curves in class 31.3-c over 3.3.169.1
Isogeny class 31.3-c contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
31.3-c1 | \( \bigl[a^{2} - 2\) , \( a^{2} - a - 2\) , \( a^{2} - 2\) , \( 2 a^{2} + a - 2\) , \( 2 a^{2} + 2 a - 1\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)