Elliptic curve isogeny class with Cremona label 3136m (LMFDB label 3136.d)

• Label: 3136m
• Number of curves: $2$
• Conductor: $3136$
• CM: no
• Rank: $2$

Elliptic curves in class 3136m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3136.d2	3136m1	\([0, 1, 0, -9, 55]\)	\(-64\)	\(-1404928\)	\([2]\)	\(512\)	\(-0.13904\)	\(\Gamma_0(N)\)-optimal
3136.d1	3136m2	\([0, 1, 0, -289, 1791]\)	\(238328\)	\(11239424\)	\([2]\)	\(1024\)	\(0.20753\)

Rank

The elliptic curves in class 3136m have rank \(2\).

Complex multiplication

The elliptic curves in class 3136m do not have complex multiplication.

Modular form 3136.2.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.