Properties

Base field \(\Q(\sqrt{13}) \)
Label 2.2.13.1-324.2-e
Conductor 324.2
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{13}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 3 \); class number \(1\).

Elliptic curves in class 324.2-e over \(\Q(\sqrt{13}) \)

Isogeny class 324.2-e contains only one elliptic curve.

Curve label Weierstrass Coefficients
324.2-e1 \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -6 a - 11\) , \( 15 a + 17\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph