Properties

Label 43200.bt
Number of curves $1$
Conductor $43200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bt1")
 
E.isogeny_class()
 

Elliptic curves in class 43200.bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43200.bt1 43200ix1 \([0, 0, 0, -10800, 540000]\) \(-3072\) \(-45349632000000\) \([]\) \(92160\) \(1.3330\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43200.bt1 has rank \(1\).

Complex multiplication

The elliptic curves in class 43200.bt do not have complex multiplication.

Modular form 43200.2.a.bt

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} + 4 q^{11} + q^{13} + 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display