Properties

Base field \(\Q(\sqrt{14}) \)
Label 2.2.56.1-5.2-b
Conductor 5.2
Rank not recorded

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Base field \(\Q(\sqrt{14}) \)

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

Elliptic curves in class 5.2-b over \(\Q(\sqrt{14}) \)

Isogeny class 5.2-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
5.2-b1 \( \bigl[1\) , \( -1\) , \( 0\) , \( 8 a + 30\) , \( -27 a - 101\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph