Properties

Label 54080.a
Number of curves $1$
Conductor $54080$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 54080.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54080.a1 54080co1 \([0, 0, 0, -8788, -228488]\) \(89856/25\) \(20882706457600\) \([]\) \(239616\) \(1.2631\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54080.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 54080.a do not have complex multiplication.

Modular form 54080.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - q^{5} - 3 q^{7} + 6 q^{9} + 3 q^{11} + 3 q^{15} - 7 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display