Base field \(\Q(\sqrt{26}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 26 \); class number \(2\).
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 50.2-g over \(\Q(\sqrt{26}) \)
Isogeny class 50.2-g contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 50.2-g1 | \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 1110 a - 5658\) , \( 50480 a - 257398\bigr] \) |