Properties

Label 11200cg
Number of curves $1$
Conductor $11200$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("cg1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 11200cg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
11200.a1 11200cg1 [0, 0, 0, 3200, -212000] [] 46080 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11200cg1 has rank \(0\).

Complex multiplication

The elliptic curves in class 11200cg do not have complex multiplication.

Modular form 11200.2.a.cg

sage: E.q_eigenform(10)
 
\( q - 3q^{3} - q^{7} + 6q^{9} - 5q^{11} - 3q^{13} + q^{17} + 6q^{19} + O(q^{20}) \)