Properties

Label 206310ch
Number of curves $1$
Conductor $206310$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ch1")
 
E.isogeny_class()
 

Elliptic curves in class 206310ch

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
206310.q1 206310ch1 \([1, 1, 0, -137, -771]\) \(-543717769/101400\) \(-53640600\) \([]\) \(78336\) \(0.20753\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 206310ch1 has rank \(1\).

Complex multiplication

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

Modular form 206310.2.a.ch

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