Properties

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

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Show commands: SageMath
E = EllipticCurve("gx1")
 
E.isogeny_class()
 

Elliptic curves in class 111600gx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
111600.b1 111600gx1 \([0, 0, 0, 6405, -3531350]\) \(77854483/14478426\) \(-5404043547648000\) \([]\) \(645120\) \(1.6981\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 111600gx1 has rank \(1\).

Complex multiplication

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

Modular form 111600.2.a.gx

sage: E.q_eigenform(10)
 
\(q - 5 q^{7} - q^{11} + 4 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display