Properties

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

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 54080.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54080.w1 54080cc1 \([0, -1, 0, -1681, -25975]\) \(3037375744/25\) \(4326400\) \([]\) \(18432\) \(0.44370\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54080.w1 has rank \(0\).

Complex multiplication

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

Modular form 54080.2.a.w

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 3 q^{7} - 2 q^{9} - q^{11} + q^{15} + q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display