Elliptic curve isogeny class with Cremona label 334620l (LMFDB label 334620.l)

• Label: 334620l
• Number of curves: $4$
• Conductor: $334620$
• CM: no
• Rank: $2$

Elliptic curves in class 334620l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
334620.l4	334620l1	\([0, 0, 0, 332592, 271261393]\)	\(72268906496/606436875\)	\(-34142335525545390000\)	\([2]\)	\(5308416\)	\(2.4295\)	\(\Gamma_0(N)\)-optimal
334620.l3	334620l2	\([0, 0, 0, -4800783, 3728076118]\)	\(13584145739344/1195803675\)	\(1077178040521503148800\)	\([2]\)	\(10616832\)	\(2.7760\)
334620.l2	334620l3	\([0, 0, 0, -23760048, 44613162997]\)	\(-26348629355659264/24169921875\)	\(-1360764188824218750000\)	\([2]\)	\(15925248\)	\(2.9788\)
334620.l1	334620l4	\([0, 0, 0, -380244423, 2853923928622]\)	\(6749703004355978704/5671875\)	\(5109215940972000000\)	\([2]\)	\(31850496\)	\(3.3253\)

Rank

The elliptic curves in class 334620l have rank \(2\).

Complex multiplication

The elliptic curves in class 334620l do not have complex multiplication.

Modular form 334620.2.a.l

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.