Properties

Base field 4.4.8768.1
Label 4.4.8768.1-7.3-a
Conductor 7.3
Rank \( 1 \)

Related objects

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Base field 4.4.8768.1

Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 5 x^{2} + 6 x + 7 \); class number \(1\).

Elliptic curves in class 7.3-a over 4.4.8768.1

Isogeny class 7.3-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
7.3-a1 \( \bigl[a^{2} - 2\) , \( -a^{2} + 2 a + 2\) , \( a^{2} - a - 3\) , \( -a^{3} + 6 a^{2} - 2 a - 7\) , \( 21 a^{3} - 73 a^{2} + 18 a + 84\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph