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

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

Elliptic curves in class 33810.m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
33810.m1	33810k4	\([1, 1, 0, -72153, 7429857]\)	\(353108405631241/172500\)	\(20294452500\)	\([2]\)	\(98304\)	\(1.3129\)
33810.m2	33810k2	\([1, 1, 0, -4533, 113373]\)	\(87587538121/1904400\)	\(224050755600\)	\([2, 2]\)	\(49152\)	\(0.96630\)
33810.m3	33810k1	\([1, 1, 0, -613, -3443]\)	\(217081801/88320\)	\(10390759680\)	\([2]\)	\(24576\)	\(0.61973\)	\(\Gamma_0(N)\)-optimal
33810.m4	33810k3	\([1, 1, 0, 367, 351513]\)	\(46268279/453342420\)	\(-53335282370580\)	\([2]\)	\(98304\)	\(1.3129\)

Rank

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

Complex multiplication

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

Modular form 33810.2.a.m

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 LMFDB 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 LMFDB labels.