Properties

Base field \(\Q(\sqrt{-2}) \)
Label 2.0.8.1-32400.3-i
Conductor 32400.3
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 32400.3-i over \(\Q(\sqrt{-2}) \)

Isogeny class 32400.3-i contains 4 curves linked by isogenies of degrees dividing 6.

Curve label Weierstrass Coefficients
32400.3-i1 \( \bigl[a\) , \( -1\) , \( a\) , \( -80\) , \( 473\bigr] \)
32400.3-i2 \( \bigl[a\) , \( -1\) , \( a\) , \( 10\) , \( -13\bigr] \)
32400.3-i3 \( \bigl[0\) , \( 0\) , \( 0\) , \( -12\) , \( 11\bigr] \)
32400.3-i4 \( \bigl[0\) , \( 0\) , \( 0\) , \( -372\) , \( -2761\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 3 & 6 & 2 \\ 3 & 1 & 2 & 6 \\ 6 & 2 & 1 & 3 \\ 2 & 6 & 3 & 1 \end{array}\right)\)

Isogeny graph