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 40.2-a over 3.3.169.1
Isogeny class 40.2-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
40.2-a1 | \( \bigl[a^{2} - 3\) , \( -a^{2} + 2 a + 3\) , \( a^{2} - 3\) , \( -4 a^{2} + 9 a + 5\) , \( -4 a^{2} + 9 a + 4\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)