Elliptic curve isogeny class with Cremona label 3630j (LMFDB label 3630.j)

• Label: 3630j
• Number of curves: $2$
• Conductor: $3630$
• CM: no
• Rank: $1$

Elliptic curves in class 3630j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3630.j1	3630j1	\([1, 0, 1, -1378, 19556]\)	\(217190179331/97200\)	\(129373200\)	\([2]\)	\(1920\)	\(0.51468\)	\(\Gamma_0(N)\)-optimal
3630.j2	3630j2	\([1, 0, 1, -1158, 26068]\)	\(-128864147651/147622500\)	\(-196485547500\)	\([2]\)	\(3840\)	\(0.86125\)

Rank

The elliptic curves in class 3630j have rank \(1\).

Complex multiplication

The elliptic curves in class 3630j do not have complex multiplication.

Modular form 3630.2.a.j

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.