Elliptic curve isogeny class with Cremona label 338130z (LMFDB label 338130.z)

• Label: 338130z
• Number of curves: $4$
• Conductor: $338130$
• CM: no
• Rank: $0$

Elliptic curves in class 338130z

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
338130.z3	338130z1	[1, -1, 0, -72015, 7538425]	[2]	2654208	\(\Gamma_0(N)\)-optimal
338130.z2	338130z2	[1, -1, 0, -1155765, 478536175]	[2]	5308416
338130.z4	338130z3	[1, -1, 0, 253110, 38194100]	[2]	7962624
338130.z1	338130z4	[1, -1, 0, -1307490, 345008060]	[2]	15925248

Rank

The elliptic curves in class 338130z have rank \(0\).

Complex multiplication

The elliptic curves in class 338130z do not have complex multiplication.

Modular form 338130.2.a.z

Isogeny matrix

The \(i,j\) entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the Cremona numbering.

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.