Elliptic curve isogeny class with Cremona label 275080m (LMFDB label 275080.m)

• Label: 275080m
• Number of curves: $2$
• Conductor: $275080$
• CM: no
• Rank: $0$

Elliptic curves in class 275080m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
275080.m1	275080m1	\([0, -1, 0, -10756, 426276]\)	\(3631696/65\)	\(2463317192960\)	\([2]\)	\(402688\)	\(1.1734\)	\(\Gamma_0(N)\)-optimal
275080.m2	275080m2	\([0, -1, 0, -176, 1217660]\)	\(-4/4225\)	\(-640462470169600\)	\([2]\)	\(805376\)	\(1.5200\)

Rank

The elliptic curves in class 275080m have rank \(0\).

Complex multiplication

The elliptic curves in class 275080m do not have complex multiplication.

Modular form 275080.2.a.m

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 Cremona numbering.

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.