Base field \(\Q(\sqrt{26}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 26 \); class number \(2\).
Elliptic curves in class 8.1-b over \(\Q(\sqrt{26}) \)
Isogeny class 8.1-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
8.1-b1 | \( \bigl[a\) , \( a\) , \( 0\) , \( 5 a + 26\) , \( 10 a + 51\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)