Properties

Base field \(\Q(\sqrt{209}) \)
Label 2.2.209.1-4.3-b
Conductor 4.3
Rank not recorded

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Base field \(\Q(\sqrt{209}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 52 \); class number \(1\).

Elliptic curves in class 4.3-b over \(\Q(\sqrt{209}) \)

Isogeny class 4.3-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
4.3-b1 \( \bigl[0\) , \( -1\) , \( a + 1\) , \( 37023561 a + 249109926\) , \( 1880699198317 a + 12654126854351\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph