Properties

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

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Show commands: SageMath
E = EllipticCurve("cl1")
 
E.isogeny_class()
 

Elliptic curves in class 54208cl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54208.c1 54208cl1 \([0, 0, 0, 968, 2662]\) \(884736/539\) \(-61111768256\) \([]\) \(69120\) \(0.75887\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54208cl1 has rank \(1\).

Complex multiplication

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

Modular form 54208.2.a.cl

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{5} - q^{7} + 6 q^{9} - 4 q^{13} - 3 q^{15} - 2 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display