Properties

Base field \(\Q(\sqrt{-2}) \)
Label 2.0.8.1-46818.8-i
Conductor 46818.8
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{-2}) \)

Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 46818.8-i over \(\Q(\sqrt{-2}) \)

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

Curve label Weierstrass Coefficients
46818.8-i1 \( \bigl[1\) , \( -1\) , \( a\) , \( 46 a + 15\) , \( 41 a + 119\bigr] \)
46818.8-i2 \( \bigl[1\) , \( -1\) , \( a\) , \( 676 a + 195\) , \( 3695 a + 10343\bigr] \)