Properties

Label 182.b
Number of curves $1$
Conductor $182$
CM no
Rank $0$

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

Elliptic curves in class 182.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
182.b1 182e1 \([1, -1, 0, -22, 884]\) \(-1207949625/332678528\) \(-332678528\) \([]\) \(140\) \(0.31444\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 182.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 182.b do not have complex multiplication.

Modular form 182.2.a.b

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