Elliptic curve isogeny class with Cremona label 7350m (LMFDB label 7350.m)

• Label: 7350m
• Number of curves: $2$
• Conductor: $7350$
• CM: no
• Rank: $1$

Elliptic curves in class 7350m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7350.m2	7350m1	\([1, 1, 0, -49200, 3744000]\)	\(19661138099/2239488\)	\(1500282000000000\)	\([2]\)	\(44800\)	\(1.6444\)	\(\Gamma_0(N)\)-optimal
7350.m1	7350m2	\([1, 1, 0, -189200, -27756000]\)	\(1118063669939/153055008\)	\(102534897937500000\)	\([2]\)	\(89600\)	\(1.9910\)

Rank

The elliptic curves in class 7350m have rank \(1\).

Complex multiplication

The elliptic curves in class 7350m do not have complex multiplication.

Modular form 7350.2.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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.