Properties

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

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Show commands: SageMath
E = EllipticCurve("cf1")
 
E.isogeny_class()
 

Elliptic curves in class 206310cf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
206310.o1 206310cf1 \([1, 1, 0, -23092712, -54157540146]\) \(-32875335928249/11550093750\) \(-478480088253072229593750\) \([]\) \(33384960\) \(3.2549\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 206310cf1 has rank \(0\).

Complex multiplication

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

Modular form 206310.2.a.cf

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