Base field 3.3.1620.1
Generator \(a\), with minimal polynomial \( x^{3} - 12 x - 14 \); class number \(1\).
Elliptic curves in class 10.1-c over 3.3.1620.1
Isogeny class 10.1-c contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
10.1-c1 | \( \bigl[a^{2} - a - 7\) , \( a^{2} - a - 8\) , \( a^{2} - 2 a - 8\) , \( 2 a^{2} + 6 a - 1\) , \( 6 a^{2} + 24 a + 19\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)