Properties

Base field \(\Q(\sqrt{-2}) \)
Label 2.0.8.1-46818.8-m
Conductor 46818.8
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 46818.8-m over \(\Q(\sqrt{-2}) \)

Isogeny class 46818.8-m contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
46818.8-m1 \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -28 a - 13\) , \( -68 a + 61\bigr] \)
46818.8-m2 \( \bigl[1\) , \( -1\) , \( 1\) , \( 78 a - 17\) , \( 252 a + 245\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph