Properties

Base field \(\Q(\sqrt{34}) \)
Label 2.2.136.1-9.1-d
Conductor 9.1
Rank not recorded

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Base field \(\Q(\sqrt{34}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 34 \); class number \(2\).

Elliptic curves in class 9.1-d over \(\Q(\sqrt{34}) \)

Isogeny class 9.1-d contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
9.1-d1 \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 12 a + 114\) , \( -62 a - 301\bigr] \)
9.1-d2 \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -8 a - 11\) , \( -24 a - 104\bigr] \)

Rank

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Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph