Properties

Label 54096cy
Number of curves $1$
Conductor $54096$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("cy1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 54096cy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54096.bv1 54096cy1 \([0, 1, 0, 7131248, 4921249556]\) \(83228502970940543/69854999176704\) \(-33662446789181640278016\) \([]\) \(4561920\) \(3.0102\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54096cy1 has rank \(0\).

Complex multiplication

The elliptic curves in class 54096cy do not have complex multiplication.

Modular form 54096.2.a.cy

sage: E.q_eigenform(10)
 
\(q + q^{3} - 3q^{5} + q^{9} - 4q^{11} + 3q^{13} - 3q^{15} + 4q^{17} + O(q^{20})\)  Toggle raw display