Properties

Label 6480.f
Number of curves $1$
Conductor $6480$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("f1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 6480.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6480.f1 6480g1 \([0, 0, 0, -48, 112]\) \(36864/5\) \(1658880\) \([]\) \(960\) \(-0.079350\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6480.f1 has rank \(0\).

Complex multiplication

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

Modular form 6480.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{5} + 5 q^{11} + 4 q^{13} + 4 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display