Elliptic curve isogeny class 7936.1-c over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-7936.1-c
• Conductor: 7936.1
• Rank: \( 1 \)

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

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

Elliptic curves in class 7936.1-c over \(\Q(\sqrt{-3}) \)

Isogeny class 7936.1-c contains 3 curves linked by isogenies of degrees dividing 25.

Curve label	Weierstrass Coefficients
7936.1-c1	\( \bigl[0\) , \( -a\) , \( 0\) , \( 20800 a - 8792\) , \( 651200 a + 424324\bigr] \)
7936.1-c2	\( \bigl[0\) , \( -a\) , \( 0\) , \( 8\) , \( 4\bigr] \)
7936.1-c3	\( \bigl[0\) , \( -a\) , \( 0\) , \( -240 a + 88\) , \( 128 a - 860\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph