Elliptic curve isogeny class 1936.4-b over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-1936.4-b
• Conductor: 1936.4
• Rank: \( 0 \)

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

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

Elliptic curves in class 1936.4-b over \(\Q(\sqrt{-7}) \)

Isogeny class 1936.4-b contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
1936.4-b1	\( \bigl[a\) , \( 0\) , \( 0\) , \( -59 a + 26\) , \( -83 a + 2\bigr] \)
1936.4-b2	\( \bigl[a\) , \( -a\) , \( a\) , \( 14 a + 194\) , \( 766 a - 593\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph