Properties

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

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Show commands: SageMath
E = EllipticCurve("bt1")
 
E.isogeny_class()
 

Elliptic curves in class 111600bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
111600.r1 111600bt1 \([0, 0, 0, -52500, 4587500]\) \(8780800/93\) \(169492500000000\) \([]\) \(522240\) \(1.5465\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 111600bt1 has rank \(1\).

Complex multiplication

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

Modular form 111600.2.a.bt

sage: E.q_eigenform(10)
 
\(q - 4 q^{7} + 3 q^{11} - 6 q^{13} - 7 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display