Properties

Label 67158.bb
Number of curves $1$
Conductor $67158$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 67158.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
67158.bb1 67158bo1 \([1, -1, 1, -7394, 245747]\) \(61316796395737/232911406\) \(169792414974\) \([]\) \(105600\) \(1.0137\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 67158.bb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 67158.bb do not have complex multiplication.

Modular form 67158.2.a.bb

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