Elliptic curve isogeny class 92416.2-m over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-92416.2-m
• Conductor: 92416.2
• Rank: \( 0 \)

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

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

Elliptic curves in class 92416.2-m over \(\Q(\sqrt{-3}) \)

Isogeny class 92416.2-m contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
92416.2-m1	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -134 a + 215\) , \( -601 a - 647\bigr] \)
92416.2-m2	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -214 a + 135\) , \( -521 a + 1033\bigr] \)
92416.2-m3	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -14 a + 15\) , \( -17 a + 1\bigr] \)
92416.2-m4	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 6 a - 5\) , \( -5 a + 5\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 4 & 2 & 4 \\ 4 & 1 & 2 & 4 \\ 2 & 2 & 1 & 2 \\ 4 & 4 & 2 & 1 \end{array}\right)\)

Isogeny graph