Properties

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

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Show commands: SageMath
E = EllipticCurve("bh1")
 
E.isogeny_class()
 

Elliptic curves in class 11200.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11200.bh1 11200v1 \([0, -1, 0, -133, 4637]\) \(-1024/35\) \(-8960000000\) \([]\) \(6144\) \(0.58996\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11200.bh1 has rank \(0\).

Complex multiplication

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

Modular form 11200.2.a.bh

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