Base field 3.3.1492.1
Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 9 x - 5 \); class number \(1\).
Elliptic curves in class 10.1-b over 3.3.1492.1
Isogeny class 10.1-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
10.1-b1 | \( \bigl[a^{2} - a - 5\) , \( -a^{2} + 3 a + 7\) , \( a\) , \( -23 a^{2} - 51 a + 1\) , \( 101 a^{2} + 296 a + 170\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)