Properties

Base field \(\Q(\sqrt{10}) \)
Label 2.2.40.1-392.1-b
Conductor 392.1
Rank not recorded

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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-b over \(\Q(\sqrt{10}) \)

Isogeny class 392.1-b contains 4 curves linked by isogenies of degrees dividing 4.

Curve label Weierstrass Coefficients
392.1-b1 \( \bigl[0\) , \( 0\) , \( 0\) , \( 1\) , \( 2\bigr] \)
392.1-b2 \( \bigl[0\) , \( 0\) , \( 0\) , \( -59\) , \( -138\bigr] \)
392.1-b3 \( \bigl[0\) , \( 0\) , \( 0\) , \( -19\) , \( 30\bigr] \)
392.1-b4 \( \bigl[0\) , \( 0\) , \( 0\) , \( -299\) , \( 1990\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 4 & 2 & 4 \\ 4 & 1 & 2 & 4 \\ 2 & 2 & 1 & 2 \\ 4 & 4 & 2 & 1 \end{array}\right)\)

Isogeny graph