Elliptic curve isogeny class with Cremona label 31824d (LMFDB label 31824.o)

• Label: 31824d
• Number of curves: $2$
• Conductor: $31824$
• CM: no
• Rank: $0$

Elliptic curves in class 31824d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
31824.o2	31824d1	\([0, 0, 0, -7050, -224773]\)	\(3322336000000/51429573\)	\(599874539472\)	\([2]\)	\(36864\)	\(1.0613\)	\(\Gamma_0(N)\)-optimal
31824.o1	31824d2	\([0, 0, 0, -13935, 286094]\)	\(1603530178000/738501777\)	\(137822155630848\)	\([2]\)	\(73728\)	\(1.4078\)

Rank

The elliptic curves in class 31824d have rank \(0\).

Complex multiplication

The elliptic curves in class 31824d do not have complex multiplication.

Modular form 31824.2.a.d

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.