Properties

Base field \(\Q(\sqrt{55}) \)
Label 2.2.220.1-11.1-d
Conductor 11.1
Rank not recorded

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Base field \(\Q(\sqrt{55}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 55 \); class number \(2\).

Elliptic curves in class 11.1-d over \(\Q(\sqrt{55}) \)

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

Curve label Weierstrass Coefficients
11.1-d1 \( \bigl[0\) , \( 0\) , \( 0\) , \( 28056695334912 a - 208074021910272\) , \( -220296987718004109312 a + 1633766187026096667648\bigr] \)
11.1-d2 \( \bigl[0\) , \( 0\) , \( 0\) , \( 28605312 a - 212142672\) , \( -410775924672 a + 3046395791088\bigr] \)
11.1-d3 \( \bigl[0\) , \( 0\) , \( 0\) , \( 747429120000 a - 5543082720000\) , \( 2274952951872000000 a - 16871502639888000000\bigr] \)

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