Base field \(\Q(\sqrt{2}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 2 \); class number \(1\).
Elliptic curves in class 2450.3-j over \(\Q(\sqrt{2}) \)
Isogeny class 2450.3-j contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
2450.3-j1 | \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -a + 1\) , \( -68 a - 95\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)