Properties

Base field \(\Q(\sqrt{10}) \)
Label 2.2.40.1-392.1-d
Conductor 392.1
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{10}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 10 \); class number \(2\).

Elliptic curves in class 392.1-d over \(\Q(\sqrt{10}) \)

Isogeny class 392.1-d contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
392.1-d1 \( \bigl[a\) , \( 0\) , \( 0\) , \( 2\) , \( 0\bigr] \)
392.1-d2 \( \bigl[a\) , \( 0\) , \( 0\) , \( -8\) , \( -20\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph