Properties

Base field 3.3.1492.1
Label 3.3.1492.1-10.1-b
Conductor 10.1
Rank \( 1 \)

Related objects

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Base field 3.3.1492.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 9 x - 5 \); class number \(1\).

Elliptic curves in class 10.1-b over 3.3.1492.1

Isogeny class 10.1-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
10.1-b1 \( \bigl[a^{2} - a - 5\) , \( -a^{2} + 3 a + 7\) , \( a\) , \( -23 a^{2} - 51 a + 1\) , \( 101 a^{2} + 296 a + 170\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph