Properties

Base field \(\Q(\sqrt{14}) \)
Label 2.2.56.1-20.1-a
Conductor 20.1
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Base field \(\Q(\sqrt{14}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 14 \); class number \(1\).

Elliptic curves in class 20.1-a over \(\Q(\sqrt{14}) \)

Isogeny class 20.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
20.1-a1 \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -13 a - 26\) , \( -32 a - 99\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph