Properties

Label 6480.j
Number of curves $1$
Conductor $6480$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 6480.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6480.j1 6480c1 \([0, 0, 0, -108, 108]\) \(9216/5\) \(75582720\) \([]\) \(1152\) \(0.20266\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6480.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6480.j do not have complex multiplication.

Modular form 6480.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{5} + 2 q^{7} - 3 q^{11} - 2 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display