Properties

Base field \(\Q(\sqrt{2}) \)
Label 2.2.8.1-2592.1-c
Conductor 2592.1
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{2}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 2 \); class number \(1\).

Elliptic curves in class 2592.1-c over \(\Q(\sqrt{2}) \)

Isogeny class 2592.1-c contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
2592.1-c1 \( \bigl[0\) , \( 0\) , \( 0\) , \( -27\) , \( 0\bigr] \)
2592.1-c2 \( \bigl[0\) , \( 0\) , \( 0\) , \( 27\) , \( 0\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph