Properties

Base field \(\Q(\sqrt{22}) \)
Label 2.2.88.1-11.1-a
Conductor 11.1
Rank not recorded

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Base field \(\Q(\sqrt{22}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 22 \); class number \(1\).

Elliptic curves in class 11.1-a over \(\Q(\sqrt{22}) \)

Isogeny class 11.1-a contains 3 curves linked by isogenies of degrees dividing 25.

Curve label Weierstrass Coefficients
11.1-a1 \( \bigl[0\) , \( -1\) , \( a + 1\) , \( -129410876 a - 606990812\) , \( 1735544452344 a + 8140425051145\bigr] \)
11.1-a2 \( \bigl[0\) , \( -1\) , \( a + 1\) , \( -170996 a - 802042\) , \( 151040284 a + 708441725\bigr] \)
11.1-a3 \( \bigl[0\) , \( -1\) , \( a + 1\) , \( -5516 a - 25872\) , \( -1145176 a - 5371355\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rrr} 1 & 5 & 25 \\ 5 & 1 & 5 \\ 25 & 5 & 1 \end{array}\right)\)

Isogeny graph