Properties

Base field \(\Q(\sqrt{-2}) \)
Label 2.0.8.1-392.1-b
Conductor 392.1
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 392.1-b over \(\Q(\sqrt{-2}) \)

Isogeny class 392.1-b contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
392.1-b1 \( \bigl[a\) , \( 1\) , \( a\) , \( 1\) , \( 1\bigr] \)
392.1-b2 \( \bigl[a\) , \( 1\) , \( a\) , \( -9\) , \( 11\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph