Properties

Label 54208.o
Number of curves $1$
Conductor $54208$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 54208.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54208.o1 54208q1 \([0, 1, 0, -4880, 451702]\) \(-7744/49\) \(-81339763548736\) \([]\) \(160512\) \(1.3527\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54208.o1 has rank \(0\).

Complex multiplication

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

Modular form 54208.2.a.o

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