Properties

Label 208725.cu
Number of curves $1$
Conductor $208725$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cu1")
 
E.isogeny_class()
 

Elliptic curves in class 208725.cu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
208725.cu1 208725cp1 \([0, 1, 1, -1262708, -546559381]\) \(-4710721692160000/1156923\) \(-54682688671875\) \([]\) \(3648960\) \(2.0126\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 208725.cu1 has rank \(0\).

Complex multiplication

The elliptic curves in class 208725.cu do not have complex multiplication.

Modular form 208725.2.a.cu

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + q^{3} + 2 q^{4} + 2 q^{6} + q^{7} + q^{9} + 2 q^{12} - 5 q^{13} + 2 q^{14} - 4 q^{16} - 8 q^{17} + 2 q^{18} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display