Elliptic curve isogeny class 39375.1-b over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-39375.1-b
• Conductor: 39375.1
• Rank: \( 2 \)

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

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

Elliptic curves in class 39375.1-b over \(\Q(\sqrt{-7}) \)

Isogeny class 39375.1-b contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
39375.1-b1	\( \bigl[1\) , \( 1\) , \( 1\) , \( 437\) , \( -4594\bigr] \)
39375.1-b2	\( \bigl[1\) , \( 1\) , \( 1\) , \( -188\) , \( -844\bigr] \)
39375.1-b3	\( \bigl[1\) , \( 1\) , \( 1\) , \( -63\) , \( 156\bigr] \)
39375.1-b4	\( \bigl[1\) , \( 1\) , \( 1\) , \( -2813\) , \( -58594\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

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

Isogeny graph