Properties

Label 111600gy
Number of curves $1$
Conductor $111600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("gy1")
 
E.isogeny_class()
 

Elliptic curves in class 111600gy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
111600.a1 111600gy1 \([0, 0, 0, -7269409875, -238559574208750]\) \(-36422828671263791996785/239929786368\) \(-279854102819635200000000\) \([]\) \(94003200\) \(4.1015\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 111600gy1 has rank \(1\).

Complex multiplication

The elliptic curves in class 111600gy do not have complex multiplication.

Modular form 111600.2.a.gy

sage: E.q_eigenform(10)
 
\(q - 5 q^{7} - q^{11} - 5 q^{13} - 4 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display