Properties

Label 54208x
Number of curves $1$
Conductor $54208$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 54208x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54208.x1 54208x1 \([0, -1, 0, -7, 101]\) \(-512/49\) \(-4174016\) \([]\) \(7680\) \(-0.050067\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54208x1 has rank \(2\).

Complex multiplication

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

Modular form 54208.2.a.x

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{7} - 2 q^{9} - 2 q^{13} + 3 q^{15} - 6 q^{17} + O(q^{20})\) Copy content Toggle raw display