Elliptic curve isogeny class 7936.2-d over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-7936.2-d
• Conductor: 7936.2
• Rank: \( 1 \)

Base field \(\Q(\sqrt{-3}) \)

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

Elliptic curves in class 7936.2-d over \(\Q(\sqrt{-3}) \)

Isogeny class 7936.2-d contains 3 curves linked by isogenies of degrees dividing 25.

Curve label	Weierstrass Coefficients
7936.2-d1	\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -20800 a + 12008\) , \( -651200 a + 1075524\bigr] \)
7936.2-d2	\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 8\) , \( 4\bigr] \)
7936.2-d3	\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 240 a - 152\) , \( -128 a - 732\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rrr} 1 & 25 & 5 \\ 25 & 1 & 5 \\ 5 & 5 & 1 \end{array}\right)\)

Isogeny graph