Elliptic curve isogeny class 1792.1-j over number field \(\Q(\sqrt{21}) \)

• Base field: \(\Q(\sqrt{21}) \)
• Label: 2.2.21.1-1792.1-j
• Conductor: 1792.1
• Rank: \( 1 \)

Base field \(\Q(\sqrt{21}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 5 \); class number \(1\).

Elliptic curves in class 1792.1-j over \(\Q(\sqrt{21}) \)

Isogeny class 1792.1-j contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
1792.1-j1	\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -7 a + 15\) , \( -a + 4\bigr] \)
1792.1-j2	\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -7 a - 125\) , \( 83 a + 284\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph