Elliptic curve isogeny class with Cremona label 63480t (LMFDB label 63480.v)

• Label: 63480t
• Number of curves: $4$
• Conductor: $63480$
• CM: no
• Rank: $1$

Elliptic curves in class 63480t

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
63480.v4	63480t1	\([0, 1, 0, -2092900, 7458662048]\)	\(-26752376766544/618796614375\)	\(-23450651371313485920000\)	\([4]\)	\(3244032\)	\(2.9732\)	\(\Gamma_0(N)\)-optimal
63480.v3	63480t2	\([0, 1, 0, -71508280, 231698105600]\)	\(266763091319403556/1355769140625\)	\(205519349771456400000000\)	\([2, 2]\)	\(6488064\)	\(3.3197\)
63480.v2	63480t3	\([0, 1, 0, -110929360, -52228280992]\)	\(497927680189263938/284271240234375\)	\(86184644127187500000000000\)	\([2]\)	\(12976128\)	\(3.6663\)
63480.v1	63480t4	\([0, 1, 0, -1142733280, 14868059525600]\)	\(544328872410114151778/14166950625\)	\(4295100682631128320000\)	\([2]\)	\(12976128\)	\(3.6663\)

Rank

The elliptic curves in class 63480t have rank \(1\).

Complex multiplication

The elliptic curves in class 63480t do not have complex multiplication.

Modular form 63480.2.a.t

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.