Base field \(\Q(\sqrt{38}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 38 \); class number \(1\).
Elliptic curves in class 26.1-d over \(\Q(\sqrt{38}) \)
Isogeny class 26.1-d contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
26.1-d1 | \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 80 a - 504\) , \( -729 a + 4492\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)