Properties

Label 106560bt
Number of curves $1$
Conductor $106560$
CM no
Rank $1$

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

Elliptic curves in class 106560bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
106560.cj1 106560bt1 \([0, 0, 0, 852, 37168]\) \(357911/3330\) \(-636372910080\) \([]\) \(122880\) \(0.94614\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 106560bt1 has rank \(1\).

Complex multiplication

The elliptic curves in class 106560bt do not have complex multiplication.

Modular form 106560.2.a.bt

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