Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 6480.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6480.r1 6480o1 \([0, 0, 0, -432, -3024]\) \(36864/5\) \(1209323520\) \([]\) \(2880\) \(0.46996\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6480.r1 has rank \(1\).

Complex multiplication

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

Modular form 6480.2.a.r

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