Properties

Base field \(\Q(\sqrt{10}) \)
Label 2.2.40.1-25.1-a
Conductor 25.1
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 25.1-a over \(\Q(\sqrt{10}) \)

Isogeny class 25.1-a contains 2 curves linked by isogenies of degree 5.

Curve label Weierstrass Coefficients
25.1-a1 \( \bigl[0\) , \( 1\) , \( 0\) , \( -950 a - 3008\) , \( -28700 a - 90762\bigr] \)
25.1-a2 \( \bigl[0\) , \( 1\) , \( 0\) , \( 10 a + 32\) , \( 12 a + 38\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph