Elliptic curve isogeny class with LMFDB label 2310.i (Cremona label 2310i)

• Label: 2310.i
• Number of curves: $4$
• Conductor: $2310$
• CM: no
• Rank: $0$

Elliptic curves in class 2310.i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2310.i1	2310i3	\([1, 0, 1, -9314, -342988]\)	\(89343998142858649/1112702976000\)	\(1112702976000\)	\([2]\)	\(5184\)	\(1.1212\)
2310.i2	2310i4	\([1, 0, 1, -1634, -889804]\)	\(-482056280171929/341652696000000\)	\(-341652696000000\)	\([2]\)	\(10368\)	\(1.4678\)
2310.i3	2310i1	\([1, 0, 1, -899, 10046]\)	\(80224711835689/2173469760\)	\(2173469760\)	\([6]\)	\(1728\)	\(0.57191\)	\(\Gamma_0(N)\)-optimal
2310.i4	2310i2	\([1, 0, 1, 181, 32942]\)	\(661003929431/468755040600\)	\(-468755040600\)	\([6]\)	\(3456\)	\(0.91848\)

Rank

The elliptic curves in class 2310.i have rank \(0\).

Complex multiplication

The elliptic curves in class 2310.i do not have complex multiplication.

Modular form 2310.2.a.i

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.