Properties

Base field \(\Q(\sqrt{-2}) \)
Label 2.0.8.1-39204.8-a
Conductor 39204.8
Rank not recorded

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 39204.8-a over \(\Q(\sqrt{-2}) \)

Isogeny class 39204.8-a contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
39204.8-a1 \( \bigl[0\) , \( 0\) , \( 0\) , \( 24\) , \( 25\bigr] \)
39204.8-a2 \( \bigl[a\) , \( -1\) , \( 0\) , \( -27\) , \( -13\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph