Properties

Label 54450.bb
Number of curves $1$
Conductor $54450$
CM no
Rank $1$

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

Elliptic curves in class 54450.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54450.bb1 54450ct1 \([1, -1, 0, -329742, 72963666]\) \(-10461203195/162\) \(-61401733593750\) \([]\) \(322560\) \(1.7807\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54450.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 54450.bb do not have complex multiplication.

Modular form 54450.2.a.bb

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