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 47.3-a over 3.3.169.1
Isogeny class 47.3-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
47.3-a1 | \( \bigl[1\) , \( a^{2} - 3\) , \( a^{2} - a - 2\) , \( -a^{2} + 3 a + 4\) , \( a - 1\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)