Base field \(\Q(\sqrt{17}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 4 \); class number \(1\).
Elliptic curves in class 676.4-h over \(\Q(\sqrt{17}) \)
Isogeny class 676.4-h contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
676.4-h1 | \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 7 a - 15\) , \( -11 a + 27\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)