Properties

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

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Show commands: SageMath
E = EllipticCurve("bi1")
 
E.isogeny_class()
 

Elliptic curves in class 11200bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11200.j1 11200bi1 \([0, 1, 0, -2833, -138537]\) \(-6288640/16807\) \(-6722800000000\) \([]\) \(19200\) \(1.1489\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11200bi1 has rank \(0\).

Complex multiplication

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

Modular form 11200.2.a.bi

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