Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 55506.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
55506.g1 55506e1 \([1, 1, 0, -13782992, -20317686528]\) \(-11872994862835724607989/436955947638718464\) \(-10656918606960704618496\) \([]\) \(4327680\) \(2.9978\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 55506.g1 has rank \(0\).

Complex multiplication

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

Modular form 55506.2.a.g

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