Properties

Base field \(\Q(\sqrt{46}) \)
Label 2.2.184.1-16.1-c
Conductor 16.1
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 16.1-c over \(\Q(\sqrt{46}) \)

Isogeny class 16.1-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
16.1-c1 \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 32868472 a - 222924812\) , \( 267317636924 a - 1813036423935\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph