Properties

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

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

Elliptic curves in class 11760bs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11760.q1 11760bs1 \([0, -1, 0, -2344176, 1589952960]\) \(-1231272543361/230400000\) \(-266577090025881600000\) \([]\) \(524160\) \(2.6436\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11760bs1 has rank \(1\).

Complex multiplication

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

Modular form 11760.2.a.bs

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