Properties

Base field \(\Q(\sqrt{-11}) \)
Label 2.0.11.1-27225.7-c
Conductor 27225.7
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{-11}) \)

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

Elliptic curves in class 27225.7-c over \(\Q(\sqrt{-11}) \)

Isogeny class 27225.7-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
27225.7-c1 \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -29 a - 54\) , \( -64 a - 104\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph