Elliptic curve isogeny class with LMFDB label 85176.l (Cremona label 85176bh)

• Label: 85176.l
• Number of curves: $2$
• Conductor: $85176$
• CM: no
• Rank: $2$

Elliptic curves in class 85176.l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
85176.l1	85176bh1	\([0, 0, 0, -9126, -296595]\)	\(55296/7\)	\(10640681133264\)	\([2]\)	\(184320\)	\(1.2289\)	\(\Gamma_0(N)\)-optimal
85176.l2	85176bh2	\([0, 0, 0, 13689, -1542294]\)	\(11664/49\)	\(-1191756286925568\)	\([2]\)	\(368640\)	\(1.5754\)

Rank

The elliptic curves in class 85176.l have rank \(2\).

Complex multiplication

The elliptic curves in class 85176.l do not have complex multiplication.

Modular form 85176.2.a.l

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.