Properties

Label 54080v
Number of curves $1$
Conductor $54080$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 54080v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54080.o1 54080v1 \([0, 1, 0, -389601, 94498015]\) \(-244674248/3125\) \(-83530825830400000\) \([]\) \(898560\) \(2.0564\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54080v1 has rank \(1\).

Complex multiplication

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

Modular form 54080.2.a.v

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