Properties

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

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 111600.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
111600.y1 111600br1 \([0, 0, 0, -21675, 1232125]\) \(-6179217664/22599\) \(-4118667750000\) \([]\) \(215040\) \(1.2813\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 111600.y1 has rank \(1\).

Complex multiplication

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

Modular form 111600.2.a.y

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} - 4 q^{11} + 2 q^{13} - q^{19} + O(q^{20})\) Copy content Toggle raw display