Properties

Base field \(\Q(\sqrt{46}) \)
Label 2.2.184.1-2.1-a
Conductor 2.1
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{46}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 46 \); class number \(1\).

Elliptic curves in class 2.1-a over \(\Q(\sqrt{46}) \)

Isogeny class 2.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
2.1-a1 \( \bigl[1\) , \( -a + 1\) , \( a\) , \( 2082 a - 14114\) , \( -129362 a + 877358\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph