Properties

Label 43200j
Number of curves $1$
Conductor $43200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 43200j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43200.dx1 43200j1 \([0, 0, 0, 1350, 6750]\) \(1536\) \(-177147000000\) \([]\) \(36864\) \(0.84722\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43200j1 has rank \(1\).

Complex multiplication

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

Modular form 43200.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{7} - 2 q^{11} + q^{13} - 6 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display