Base field \(\Q(\sqrt{38}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 38 \); class number \(1\).
Elliptic curves in class 26.2-c over \(\Q(\sqrt{38}) \)
Isogeny class 26.2-c contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
26.2-c1 | \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 106 a - 607\) , \( 1614 a - 9889\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)