Properties

Label 55506.v
Number of curves $1$
Conductor $55506$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 55506.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
55506.v1 55506w1 \([1, 0, 1, 3070473, -2076664142]\) \(220677361507/256158936\) \(-3716135077575284715384\) \([]\) \(3819648\) \(2.8252\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55506.v1 has rank \(0\).

Complex multiplication

The elliptic curves in class 55506.v do not have complex multiplication.

Modular form 55506.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + 3 q^{5} - q^{6} - q^{7} - q^{8} + q^{9} - 3 q^{10} + q^{11} + q^{12} + 4 q^{13} + q^{14} + 3 q^{15} + q^{16} + q^{17} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display