Elliptic curve isogeny class with Cremona label 147c (LMFDB label 147.b)

• Label: 147c
• Number of curves: $2$
• Conductor: $147$
• CM: no
• Rank: $0$

Elliptic curves in class 147c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
147.b2	147c1	\([0, -1, 1, -2, -1]\)	\(-28672/3\)	\(-147\)	\([]\)	\(6\)	\(-0.84509\)	\(\Gamma_0(N)\)-optimal
147.b1	147c2	\([0, -1, 1, -912, 10919]\)	\(-1713910976512/1594323\)	\(-78121827\)	\([]\)	\(78\)	\(0.43739\)

Rank

The elliptic curves in class 147c have rank \(0\).

Complex multiplication

The elliptic curves in class 147c do not have complex multiplication.

Modular form 147.2.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 Cremona numbering.

\(\left(\begin{array}{rr} 1 & 13 \\ 13 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.