Elliptic curve isogeny class 4356.4-b over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-4356.4-b
• Conductor: 4356.4
• Rank: \( 0 \)

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

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

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 4356.4-b over \(\Q(\sqrt{-7}) \)

Isogeny class 4356.4-b contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
4356.4-b1	\( \bigl[1\) , \( a + 1\) , \( 0\) , \( -126 a - 75\) , \( 792 a - 99\bigr] \)
4356.4-b2	\( \bigl[1\) , \( a - 1\) , \( 0\) , \( -61\) , \( 180 a - 67\bigr] \)