Properties

Base field \(\Q(\sqrt{34}) \)
Label 2.2.136.1-9.1-c
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-c over \(\Q(\sqrt{34}) \)

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

Curve label Weierstrass Coefficients
9.1-c1 \( \bigl[1\) , \( -a + 1\) , \( 0\) , \( 73995 a + 431478\) , \( -28055528 a - 163590421\bigr] \)
9.1-c2 \( \bigl[1\) , \( -a + 1\) , \( 0\) , \( -27485 a - 160247\) , \( -4151770 a - 24208758\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph