Elliptic curve isogeny class with LMFDB label 272090.g (Cremona label 272090g)

• Label: 272090.g
• Number of curves: $4$
• Conductor: $272090$
• CM: no
• Rank: $0$

Elliptic curves in class 272090.g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
272090.g1	272090g3	\([1, 0, 1, -285783, -58319194]\)	\(534774372149809/5323062500\)	\(25693405982562500\)	\([2]\)	\(3981312\)	\(1.9674\)
272090.g2	272090g4	\([1, 0, 1, -74533, -142565694]\)	\(-9486391169809/1813439640250\)	\(-8753126776515462250\)	\([2]\)	\(7962624\)	\(2.3140\)
272090.g3	272090g1	\([1, 0, 1, -25523, 1521678]\)	\(380920459249/12622400\)	\(60925913921600\)	\([2]\)	\(1327104\)	\(1.4181\)	\(\Gamma_0(N)\)-optimal
272090.g4	272090g2	\([1, 0, 1, 8277, 5266718]\)	\(12994449551/2489452840\)	\(-12016113373187560\)	\([2]\)	\(2654208\)	\(1.7647\)

Rank

The elliptic curves in class 272090.g have rank \(0\).

Complex multiplication

The elliptic curves in class 272090.g do not have complex multiplication.

Modular form 272090.2.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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.