Properties

Base field \(\Q(\sqrt{209}) \)
Label 2.2.209.1-10.4-a
Conductor 10.4
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 10.4-a over \(\Q(\sqrt{209}) \)

Isogeny class 10.4-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
10.4-a1 \( \bigl[a + 1\) , \( -1\) , \( 1\) , \( -19297590 a - 129842196\) , \( 251996522818 a + 1695537473231\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph