Properties

Label 54208cc
Number of curves $1$
Conductor $54208$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cc1")
 
E.isogeny_class()
 

Elliptic curves in class 54208cc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54208.y1 54208cc1 \([0, -1, 0, 191, -31]\) \(24167/14\) \(-444071936\) \([]\) \(18432\) \(0.34875\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54208cc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 54208cc do not have complex multiplication.

Modular form 54208.2.a.cc

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} - q^{7} - 2 q^{9} - 7 q^{13} + 2 q^{15} - q^{19} + O(q^{20})\) Copy content Toggle raw display