Properties

Label 11760.bs
Number of curves $1$
Conductor $11760$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bs1")
 
E.isogeny_class()
 

Elliptic curves in class 11760.bs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11760.bs1 11760cf1 \([0, 1, 0, -576, -5580]\) \(-105484561/1440\) \(-289013760\) \([]\) \(5760\) \(0.43036\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11760.bs1 has rank \(0\).

Complex multiplication

The elliptic curves in class 11760.bs do not have complex multiplication.

Modular form 11760.2.a.bs

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{9} + q^{11} - 7 q^{13} - q^{15} + 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display