Properties

Base field 3.3.1300.1
Label 3.3.1300.1-7.1-b
Conductor 7.1
Rank \( 1 \)

Related objects

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Base field 3.3.1300.1

Generator \(a\), with minimal polynomial \( x^{3} - 10 x - 10 \); class number \(1\).

Elliptic curves in class 7.1-b over 3.3.1300.1

Isogeny class 7.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
7.1-b1 \( \bigl[a\) , \( a^{2} - 6\) , \( 1\) , \( 24 a^{2} - 53 a - 86\) , \( 65 a^{2} - 149 a - 262\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph