Properties

Label 187395.bb
Number of curves $1$
Conductor $187395$
CM no
Rank $1$

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

Elliptic curves in class 187395.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187395.bb1 187395ba1 \([0, -1, 1, -320, 20243]\) \(-4096/195\) \(-173063217795\) \([]\) \(367200\) \(0.83641\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 187395.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 187395.bb do not have complex multiplication.

Modular form 187395.2.a.bb

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} - q^{3} + 2 q^{4} + q^{5} - 2 q^{6} - 3 q^{7} + q^{9} + 2 q^{10} + 5 q^{11} - 2 q^{12} - q^{13} - 6 q^{14} - q^{15} - 4 q^{16} - 5 q^{17} + 2 q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display