Properties

Base field \(\Q(\sqrt{301}) \)
Label 2.2.301.1-20.2-b
Conductor 20.2
Rank bounds 0...1

Related objects

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Base field \(\Q(\sqrt{301}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 75 \); class number \(1\).

Elliptic curves in class 20.2-b over \(\Q(\sqrt{301}) \)

Isogeny class 20.2-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
20.2-b1 \( \bigl[a\) , \( a\) , \( 0\) , \( 20679016 a - 189722963\) , \( 150818140823 a - 1383707543744\bigr] \)

Rank

Rank \(r\) satisfies \(0 \le r \le 1\)

Isogeny matrix

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

Isogeny graph