Properties

Label 11550.bm
Number of curves $1$
Conductor $11550$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bm1")
 
E.isogeny_class()
 

Elliptic curves in class 11550.bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11550.bm1 11550bw1 \([1, 1, 1, 36487, -30598969]\) \(13752365416655/1044457193472\) \(-407991091200000000\) \([]\) \(165600\) \(2.0587\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11550.bm1 has rank \(1\).

Complex multiplication

The elliptic curves in class 11550.bm do not have complex multiplication.

Modular form 11550.2.a.bm

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