Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-93925.7-d
Conductor 93925.7
Rank \( 0 \)

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 93925.7-d over \(\Q(\sqrt{-1}) \)

Isogeny class 93925.7-d contains 10 curves linked by isogenies of degrees dividing 16.

Curve label Weierstrass Coefficients
93925.7-d1 \( \bigl[i\) , \( 1\) , \( i + 1\) , \( 300293 i - 364639\) , \( -107272467 i + 63878042\bigr] \)
93925.7-d2 \( \bigl[i\) , \( 1\) , \( i + 1\) , \( 129158 i - 57484\) , \( 20239528 i + 3190377\bigr] \)
93925.7-d3 \( \bigl[i\) , \( 1\) , \( i + 1\) , \( 18768 i - 22789\) , \( -1672607 i + 993867\bigr] \)
93925.7-d4 \( \bigl[i\) , \( 1\) , \( i + 1\) , \( -292 i - 4\) , \( -1460 i + 1323\bigr] \)
93925.7-d5 \( \bigl[i\) , \( 1\) , \( i + 1\) , \( -1132 i + 2756\) , \( -53316 i - 34639\bigr] \)
93925.7-d6 \( \bigl[i\) , \( 1\) , \( i + 1\) , \( 17243 i - 22939\) , \( -1865147 i + 903792\bigr] \)
93925.7-d7 \( \bigl[i\) , \( 1\) , \( i + 1\) , \( -3862 i + 11726\) , \( 1483422 i - 161095\bigr] \)
93925.7-d8 \( \bigl[i\) , \( 1\) , \( i + 1\) , \( -252 i + 71\) , \( -2563 i + 1025\bigr] \)
93925.7-d9 \( \bigl[i\) , \( 1\) , \( i + 1\) , \( 1268 i - 1414\) , \( -22882 i + 16717\bigr] \)
93925.7-d10 \( \bigl[i\) , \( 1\) , \( i + 1\) , \( 8088 i - 3799\) , \( 308187 i + 61675\bigr] \)

Rank

Rank: \( 0 \)

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