Properties

Base field \(\Q(\sqrt{46}) \)
Label 2.2.184.1-10.1-c
Conductor 10.1
Rank \( 0 \)

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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-c over \(\Q(\sqrt{46}) \)

Isogeny class 10.1-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
10.1-c1 \( \bigl[a + 1\) , \( -a\) , \( 1\) , \( 1194937761 a - 8104462185\) , \( 202073642980310 a - 1370530127584686\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph