Properties

Base field \(\Q(\sqrt{14}) \)
Label 2.2.56.1-50.1-f
Conductor 50.1
Rank \( 0 \)

Related objects

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

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

Elliptic curves in class 50.1-f over \(\Q(\sqrt{14}) \)

Isogeny class 50.1-f contains only one elliptic curve.

Curve label Weierstrass Coefficients
50.1-f1 \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -22 a - 86\) , \( -143 a - 537\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph