Base field \(\Q(\sqrt{26}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 26 \); class number \(2\).
Elliptic curves in class 10.2-d over \(\Q(\sqrt{26}) \)
Isogeny class 10.2-d contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
10.2-d1 | \( \bigl[1\) , \( a + 1\) , \( 1\) , \( -368 a - 1872\) , \( 6871 a + 35033\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)