Properties

Base field \(\Q(\sqrt{46}) \)
Label 2.2.184.1-10.1-f
Conductor 10.1
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 10.1-f over \(\Q(\sqrt{46}) \)

Isogeny class 10.1-f contains only one elliptic curve.

Curve label Weierstrass Coefficients
10.1-f1 \( \bigl[1\) , \( a + 1\) , \( a\) , \( -1407458 a - 9545831\) , \( -2538606312 a - 17217665723\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph