Properties

Label 184.b
Number of curves 11
Conductor 184184
CM no
Rank 11

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 184.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
184.b1 184b1 [0,1,0,4,5][0, -1, 0, -4, 5] 562432/23-562432/23 368-368 [][] 88 0.74012-0.74012 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 184.b1 has rank 11.

Complex multiplication

The elliptic curves in class 184.b do not have complex multiplication.

Modular form 184.2.a.b

sage: E.q_eigenform(10)
 
qq32q54q72q92q11+7q13+2q154q176q19+O(q20)q - q^{3} - 2 q^{5} - 4 q^{7} - 2 q^{9} - 2 q^{11} + 7 q^{13} + 2 q^{15} - 4 q^{17} - 6 q^{19} + O(q^{20}) Copy content Toggle raw display