Properties

Label 54208.bb
Number of curves $1$
Conductor $54208$
CM no
Rank $1$

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

Elliptic curves in class 54208.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54208.bb1 54208bi1 \([0, -1, 0, -976631, -371298431]\) \(-908614343190016/386683451\) \(-43842132552768704\) \([]\) \(460800\) \(2.1539\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54208.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 54208.bb do not have complex multiplication.

Modular form 54208.2.a.bb

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