Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-38025.5-a
Conductor 38025.5
Rank not recorded

Related objects

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Base field \(\Q(\sqrt{-1}) \)

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

Elliptic curves in class 38025.5-a over \(\Q(\sqrt{-1}) \)

Isogeny class 38025.5-a contains 10 curves linked by isogenies of degrees dividing 16.

Curve label Weierstrass Coefficients
38025.5-a1 \( \bigl[i\) , \( 0\) , \( 0\) , \( 8925 i + 9605\) , \( -254835 i + 518800\bigr] \)
38025.5-a2 \( \bigl[i\) , \( 0\) , \( 0\) , \( -8925 i + 9605\) , \( 254835 i + 518800\bigr] \)
38025.5-a3 \( \bigl[i\) , \( 0\) , \( 0\) , \( -7930\) , \( 296725\bigr] \)
38025.5-a4 \( \bigl[i\) , \( 0\) , \( 0\) , \( 605\) , \( 19750\bigr] \)
38025.5-a5 \( \bigl[i\) , \( 0\) , \( 0\) , \( 210\) , \( -2277\bigr] \)
38025.5-a6 \( \bigl[i\) , \( 0\) , \( 0\) , \( -115\) , \( -392\bigr] \)
38025.5-a7 \( \bigl[i\) , \( 0\) , \( 0\) , \( -520\) , \( 4225\bigr] \)
38025.5-a8 \( \bigl[i\) , \( 0\) , \( 0\) , \( -110\) , \( -435\bigr] \)
38025.5-a9 \( \bigl[i\) , \( 0\) , \( 0\) , \( -8125\) , \( 282568\bigr] \)
38025.5-a10 \( \bigl[i\) , \( 0\) , \( 0\) , \( -130000\) , \( 18051943\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rrrrrrrrrr} 1 & 4 & 16 & 2 & 16 & 8 & 4 & 16 & 8 & 16 \\ 4 & 1 & 16 & 2 & 16 & 8 & 4 & 16 & 8 & 16 \\ 16 & 16 & 1 & 8 & 16 & 8 & 4 & 16 & 2 & 4 \\ 2 & 2 & 8 & 1 & 8 & 4 & 2 & 8 & 4 & 8 \\ 16 & 16 & 16 & 8 & 1 & 2 & 4 & 4 & 8 & 16 \\ 8 & 8 & 8 & 4 & 2 & 1 & 2 & 2 & 4 & 8 \\ 4 & 4 & 4 & 2 & 4 & 2 & 1 & 4 & 2 & 4 \\ 16 & 16 & 16 & 8 & 4 & 2 & 4 & 1 & 8 & 16 \\ 8 & 8 & 2 & 4 & 8 & 4 & 2 & 8 & 1 & 2 \\ 16 & 16 & 4 & 8 & 16 & 8 & 4 & 16 & 2 & 1 \end{array}\right)\)

Isogeny graph