Properties

Base field \(\Q(\sqrt{10}) \)
Label 2.2.40.1-225.1-j
Conductor 225.1
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 225.1-j over \(\Q(\sqrt{10}) \)

Isogeny class 225.1-j contains 2 curves linked by isogenies of degree 5.

Curve label Weierstrass Coefficients
225.1-j1 \( \bigl[0\) , \( 1\) , \( 0\) , \( -33\) , \( -87\bigr] \)
225.1-j2 \( \bigl[0\) , \( 1\) , \( 1\) , \( 2\) , \( 4\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph