Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 43200g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43200.el1 43200g1 \([0, 0, 0, 150, -250]\) \(1536\) \(-243000000\) \([]\) \(12288\) \(0.29792\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43200g1 has rank \(1\).

Complex multiplication

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

Modular form 43200.2.a.g

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