Properties

Base field \(\Q(\sqrt{-13}) \)
Label 2.0.52.1-64.1-a
Conductor 64.1
Rank \( 0 \)

Related objects

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

Generator \(a\), with minimal polynomial \( x^{2} + 13 \); class number \(2\).

Elliptic curves in class 64.1-a over \(\Q(\sqrt{-13}) \)

Isogeny class 64.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
64.1-a1 \( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -4 a + 1\) , \( 10\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph