Properties

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

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Show commands: SageMath
E = EllipticCurve("dh1")
 
E.isogeny_class()
 

Elliptic curves in class 54080dh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54080.d1 54080dh1 \([0, 0, 0, -52, -104]\) \(89856/25\) \(4326400\) \([]\) \(18432\) \(-0.019378\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54080dh1 has rank \(1\).

Complex multiplication

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

Modular form 54080.2.a.dh

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