Base field \(\Q(\sqrt{393}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 98 \); class number \(1\).
Elliptic curves in class 9.1-c over \(\Q(\sqrt{393}) \)
Isogeny class 9.1-c contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
9.1-c1 | \( \bigl[a\) , \( -a + 1\) , \( a + 1\) , \( 25675113778604 a + 241657092733010\) , \( -72944940012588806856 a - 686566076590979092299\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)