Base field 3.3.761.1
Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 6 x - 1 \); class number \(1\).
Elliptic curves in class 23.2-b over 3.3.761.1
Isogeny class 23.2-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
23.2-b1 | \( \bigl[1\) , \( a^{2} - a - 4\) , \( a^{2} - a - 4\) , \( 3 a^{2} - 3 a - 18\) , \( -12 a^{2} + 14 a + 69\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)