Properties

Base field \(\Q(\sqrt{85}) \)
Label 2.2.85.1-153.1-c
Conductor 153.1
Rank not recorded

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Base field \(\Q(\sqrt{85}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 21 \); class number \(2\).

Elliptic curves in class 153.1-c over \(\Q(\sqrt{85}) \)

Isogeny class 153.1-c contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
153.1-c1 \( \bigl[0\) , \( 1\) , \( 1\) , \( -59\) , \( -196\bigr] \)
153.1-c2 \( \bigl[0\) , \( 1\) , \( 1\) , \( 1\) , \( -1\bigr] \)

Rank

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Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph