Base field \(\Q(\sqrt{46}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 46 \); class number \(1\).
Elliptic curves in class 8.1-a over \(\Q(\sqrt{46}) \)
Isogeny class 8.1-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
8.1-a1 | \( \bigl[0\) , \( 1\) , \( 0\) , \( -1196 a + 8112\) , \( -140998 a + 956295\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)