Properties

Label 111600.w
Number of curves $1$
Conductor $111600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 111600.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
111600.w1 111600q1 \([0, 0, 0, 1125, -23750]\) \(14580/31\) \(-334800000000\) \([]\) \(145920\) \(0.89568\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 111600.w1 has rank \(1\).

Complex multiplication

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

Modular form 111600.2.a.w

sage: E.q_eigenform(10)
 
\(q - 4 q^{7} + 6 q^{11} - 2 q^{13} + 3 q^{17} + O(q^{20})\) Copy content Toggle raw display