Elliptic curve isogeny class with LMFDB label 37905.g (Cremona label 37905k)

• Label: 37905.g
• Number of curves: $4$
• Conductor: $37905$
• CM: no
• Rank: $0$

Elliptic curves in class 37905.g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
37905.g1	37905k4	\([1, 1, 1, -40620, 3133920]\)	\(157551496201/13125\)	\(617477188125\)	\([2]\)	\(96768\)	\(1.3063\)
37905.g2	37905k2	\([1, 1, 1, -2715, 40872]\)	\(47045881/11025\)	\(518680838025\)	\([2, 2]\)	\(48384\)	\(0.95968\)
37905.g3	37905k1	\([1, 1, 1, -910, -10390]\)	\(1771561/105\)	\(4939817505\)	\([2]\)	\(24192\)	\(0.61311\)	\(\Gamma_0(N)\)-optimal
37905.g4	37905k3	\([1, 1, 1, 6310, 264692]\)	\(590589719/972405\)	\(-45747649913805\)	\([2]\)	\(96768\)	\(1.3063\)

Rank

The elliptic curves in class 37905.g have rank \(0\).

Complex multiplication

The elliptic curves in class 37905.g do not have complex multiplication.

Modular form 37905.2.a.g

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.