Properties

Label 206310cp
Number of curves $1$
Conductor $206310$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cp1")
 
E.isogeny_class()
 

Elliptic curves in class 206310cp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
206310.g1 206310cp1 \([1, 1, 0, -6853, -160943]\) \(67299099310921/18537187500\) \(9806172187500\) \([]\) \(532224\) \(1.2004\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 206310cp1 has rank \(0\).

Complex multiplication

The elliptic curves in class 206310cp do not have complex multiplication.

Modular form 206310.2.a.cp

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