Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-38025.1-a
Conductor 38025.1
Rank not recorded

Related objects

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Base field \(\Q(\sqrt{-7}) \)

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

Elliptic curves in class 38025.1-a over \(\Q(\sqrt{-7}) \)

Isogeny class 38025.1-a contains 8 curves linked by isogenies of degrees dividing 16.

Curve label Weierstrass Coefficients
38025.1-a1 \( \bigl[1\) , \( 0\) , \( 0\) , \( -7930\) , \( -296725\bigr] \)
38025.1-a2 \( \bigl[1\) , \( 0\) , \( 0\) , \( 605\) , \( -19750\bigr] \)
38025.1-a3 \( \bigl[1\) , \( 0\) , \( 0\) , \( 210\) , \( 2277\bigr] \)
38025.1-a4 \( \bigl[1\) , \( 0\) , \( 0\) , \( -115\) , \( 392\bigr] \)
38025.1-a5 \( \bigl[1\) , \( 0\) , \( 0\) , \( -520\) , \( -4225\bigr] \)
38025.1-a6 \( \bigl[1\) , \( 0\) , \( 0\) , \( -110\) , \( 435\bigr] \)
38025.1-a7 \( \bigl[1\) , \( 0\) , \( 0\) , \( -8125\) , \( -282568\bigr] \)
38025.1-a8 \( \bigl[1\) , \( 0\) , \( 0\) , \( -130000\) , \( -18051943\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph