Properties

Base field \(\Q(\sqrt{-2}) \)
Label 2.0.8.1-32400.4-c
Conductor 32400.4
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 32400.4-c over \(\Q(\sqrt{-2}) \)

Isogeny class 32400.4-c contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
32400.4-c1 \( \bigl[a\) , \( -a\) , \( a\) , \( 12 a + 7\) , \( -9 a - 4\bigr] \)
32400.4-c2 \( \bigl[a\) , \( -a\) , \( a\) , \( 462 a + 367\) , \( -99 a + 8132\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph