Elliptic curve isogeny class with LMFDB label 44180.c (Cremona label 44180g)

• Label: 44180.c
• Number of curves: $4$
• Conductor: $44180$
• CM: no
• Rank: $0$

Elliptic curves in class 44180.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
44180.c1	44180g3	\([0, 1, 0, -91305, 10586428]\)	\(488095744/125\)	\(21558430658000\)	\([2]\)	\(156492\)	\(1.5444\)
44180.c2	44180g4	\([0, 1, 0, -80260, 13254900]\)	\(-20720464/15625\)	\(-43116861316000000\)	\([2]\)	\(312984\)	\(1.8910\)
44180.c3	44180g1	\([0, 1, 0, -2945, -43280]\)	\(16384/5\)	\(862337226320\)	\([2]\)	\(52164\)	\(0.99512\)	\(\Gamma_0(N)\)-optimal
44180.c4	44180g2	\([0, 1, 0, 8100, -281852]\)	\(21296/25\)	\(-68986978105600\)	\([2]\)	\(104328\)	\(1.3417\)

Rank

The elliptic curves in class 44180.c have rank \(0\).

Complex multiplication

The elliptic curves in class 44180.c do not have complex multiplication.

Modular form 44180.2.a.c

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.