Elliptic curve isogeny class 20.1-c over number field 3.3.733.1

• Base field: 3.3.733.1
• Label: 3.3.733.1-20.1-c
• Conductor: 20.1
• Rank: \( 0 \)

Base field 3.3.733.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 7 x + 8 \); class number \(1\).

Elliptic curves in class 20.1-c over 3.3.733.1

Isogeny class 20.1-c contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
20.1-c1	\( \bigl[a^{2} + a - 4\) , \( a^{2} - 5\) , \( a + 1\) , \( -36 a^{2} + 135 a - 105\) , \( 351 a^{2} - 1291 a + 1032\bigr] \)
20.1-c2	\( \bigl[a^{2} + a - 4\) , \( a^{2} - 5\) , \( a + 1\) , \( 9 a^{2} + 10 a - 75\) , \( 1076 a^{2} - 3893 a + 2989\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph