Elliptic curve isogeny class with LMFDB label 71148.i (Cremona label 71148bf)

• Label: 71148.i
• Number of curves: $2$
• Conductor: $71148$
• CM: no
• Rank: $0$

Elliptic curves in class 71148.i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
71148.i1	71148bf2	\([0, -1, 0, -261376012, -1626385307336]\)	\(-2527934627152/9\)	\(-7030683802098544896\)	\([]\)	\(11975040\)	\(3.2583\)
71148.i2	71148bf1	\([0, -1, 0, -3108772, -2400902216]\)	\(-4253392/729\)	\(-569485387969982136576\)	\([]\)	\(3991680\)	\(2.7090\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 71148.i have rank \(0\).

Complex multiplication

The elliptic curves in class 71148.i do not have complex multiplication.

Modular form 71148.2.a.i

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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.