Elliptic curve isogeny class with LMFDB label 227154.g (Cremona label 227154p)

• Label: 227154.g
• Number of curves: $4$
• Conductor: $227154$
• CM: no
• Rank: $0$

Elliptic curves in class 227154.g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
227154.g1	227154p3	\([1, 0, 1, -1615372, 790101266]\)	\(19312898130234073/84888\)	\(2048989957272\)	\([2]\)	\(2949120\)	\(1.9907\)
227154.g2	227154p2	\([1, 0, 1, -101012, 12325970]\)	\(4722184089433/9884736\)	\(238593497246784\)	\([2, 2]\)	\(1474560\)	\(1.6441\)
227154.g3	227154p4	\([1, 0, 1, -66332, 20926610]\)	\(-1337180541913/7067998104\)	\(-170604291927169176\)	\([2]\)	\(2949120\)	\(1.9907\)
227154.g4	227154p1	\([1, 0, 1, -8532, 44626]\)	\(2845178713/1609728\)	\(38854920671232\)	\([2]\)	\(737280\)	\(1.2976\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 227154.g have rank \(0\).

Complex multiplication

The elliptic curves in class 227154.g do not have complex multiplication.

Modular form 227154.2.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.