Properties

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

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

Curve label Weierstrass Coefficients
225.1-b1 \( \bigl[a\) , \( a - 1\) , \( a + 1\) , \( a - 3\) , \( -2\bigr] \)
225.1-b2 \( \bigl[0\) , \( a\) , \( 0\) , \( -2 a - 5\) , \( -5 a - 20\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph