Properties

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

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 6480.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6480.s1 6480d1 \([0, 0, 0, -8532, -303156]\) \(4543847424/3125\) \(47239200000\) \([]\) \(5760\) \(0.98547\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6480.s1 has rank \(0\).

Complex multiplication

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

Modular form 6480.2.a.s

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