Properties

Base field \(\Q(\sqrt{-2}) \)
Label 2.0.8.1-32400.1-a
Conductor 32400.1
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 32400.1-a over \(\Q(\sqrt{-2}) \)

Isogeny class 32400.1-a contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
32400.1-a1 \( \bigl[0\) , \( a + 1\) , \( a\) , \( 11 a - 16\) , \( 24 a - 17\bigr] \)
32400.1-a2 \( \bigl[0\) , \( a + 1\) , \( a\) , \( a + 4\) , \( 4 a + 1\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph