Elliptic curve isogeny class with Cremona label 33810l (LMFDB label 33810.l)

• Label: 33810l
• Number of curves: $4$
• Conductor: $33810$
• CM: no
• Rank: $1$

Elliptic curves in class 33810l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
33810.l4	33810l1	\([1, 1, 0, -167048718, 724489031988]\)	\(4381924769947287308715481/608122186185572352000\)	\(71544967082546401640448000\)	\([2]\)	\(15482880\)	\(3.6875\)	\(\Gamma_0(N)\)-optimal
33810.l2	33810l2	\([1, 1, 0, -2576500238, 50335577719092]\)	\(16077778198622525072705635801/388799208512064000000\)	\(45741838082235817536000000\)	\([2, 2]\)	\(30965760\)	\(4.0341\)
33810.l3	33810l3	\([1, 1, 0, -2480460238, 54261251135092]\)	\(-14346048055032350809895395801/2509530875136386550792000\)	\(-295243797928920741314128008000\)	\([2]\)	\(61931520\)	\(4.3807\)
33810.l1	33810l4	\([1, 1, 0, -41223764558, 3221567769308148]\)	\(65853432878493908038433301506521/38511703125000000\)	\(4530863360953125000000\)	\([2]\)	\(61931520\)	\(4.3807\)

Rank

The elliptic curves in class 33810l have rank \(1\).

Complex multiplication

The elliptic curves in class 33810l do not have complex multiplication.

Modular form 33810.2.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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.