Properties

Label 43200gk
Number of curves $1$
Conductor $43200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("gk1")
 
E.isogeny_class()
 

Elliptic curves in class 43200gk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43200.in1 43200gk1 \([0, 0, 0, -1350, -20250]\) \(-13824\) \(-19683000000\) \([]\) \(36864\) \(0.72485\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43200gk1 has rank \(0\).

Complex multiplication

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

Modular form 43200.2.a.gk

sage: E.q_eigenform(10)
 
\(q + 3 q^{7} - 6 q^{11} - 3 q^{13} - 2 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display