Properties

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

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 6480.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6480.q1 6480f1 \([0, 0, 0, -27, -2646]\) \(-18/25\) \(-3023308800\) \([]\) \(2880\) \(0.49813\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6480.q1 has rank \(1\).

Complex multiplication

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

Modular form 6480.2.a.q

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