Properties

Base field \(\Q(\sqrt{10}) \)
Label 2.2.40.1-324.2-i
Conductor 324.2
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 324.2-i over \(\Q(\sqrt{10}) \)

Isogeny class 324.2-i contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
324.2-i1 \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 6 a - 27\) , \( 11 a - 71\bigr] \)
324.2-i2 \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -26 a + 88\) , \( -2 a + 9\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph