Base field \(\Q(\sqrt{2}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 2 \); class number \(1\).
Elliptic curves in class 2450.3-b over \(\Q(\sqrt{2}) \)
Isogeny class 2450.3-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
2450.3-b1 | \( \bigl[1\) , \( 1\) , \( a\) , \( -15 a - 27\) , \( -111 a - 153\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)