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 27.1-c over 3.3.761.1
Isogeny class 27.1-c contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
27.1-c1 | \( \bigl[0\) , \( a^{2} - a - 4\) , \( a^{2} - 3\) , \( -a^{2} + 2 a + 5\) , \( 26 a^{2} - 77 a - 18\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)