Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-93925.12-c
Conductor 93925.12
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 93925.12-c over \(\Q(\sqrt{-1}) \)

Isogeny class 93925.12-c contains 10 curves linked by isogenies of degrees dividing 16.

Curve label Weierstrass Coefficients
93925.12-c1 \( \bigl[i\) , \( 1\) , \( i + 1\) , \( -300294 i - 364639\) , \( 107272466 i + 63878042\bigr] \)
93925.12-c2 \( \bigl[i\) , \( 1\) , \( i + 1\) , \( -129159 i - 57484\) , \( -20239529 i + 3190377\bigr] \)
93925.12-c3 \( \bigl[i\) , \( 1\) , \( i + 1\) , \( -18769 i - 22789\) , \( 1672606 i + 993867\bigr] \)
93925.12-c4 \( \bigl[i\) , \( 1\) , \( i + 1\) , \( 291 i - 4\) , \( 1459 i + 1323\bigr] \)
93925.12-c5 \( \bigl[i\) , \( 1\) , \( i + 1\) , \( 1131 i + 2756\) , \( 53315 i - 34639\bigr] \)
93925.12-c6 \( \bigl[i\) , \( 1\) , \( i + 1\) , \( -17244 i - 22939\) , \( 1865146 i + 903792\bigr] \)
93925.12-c7 \( \bigl[i\) , \( 1\) , \( i + 1\) , \( 3861 i + 11726\) , \( -1483423 i - 161095\bigr] \)
93925.12-c8 \( \bigl[i\) , \( 1\) , \( i + 1\) , \( 251 i + 71\) , \( 2562 i + 1025\bigr] \)
93925.12-c9 \( \bigl[i\) , \( 1\) , \( i + 1\) , \( -1269 i - 1414\) , \( 22881 i + 16717\bigr] \)
93925.12-c10 \( \bigl[i\) , \( 1\) , \( i + 1\) , \( -8089 i - 3799\) , \( -308188 i + 61675\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph