Base field \(\Q(\sqrt{26}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 26 \); class number \(2\).
Elliptic curves in class 10.1-b over \(\Q(\sqrt{26}) \)
Isogeny class 10.1-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
10.1-b1 | \( \bigl[a\) , \( a - 1\) , \( a\) , \( 1479 a - 7517\) , \( -61002 a + 311088\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)