Properties

Base field \(\Q(\sqrt{67}) \)
Label 2.2.268.1-6.1-b
Conductor 6.1
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{67}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 67 \); class number \(1\).

Elliptic curves in class 6.1-b over \(\Q(\sqrt{67}) \)

Isogeny class 6.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
6.1-b1 \( \bigl[a\) , \( 0\) , \( a\) , \( 60\) , \( a + 149\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph