Properties

Label 112518bg
Number of curves $1$
Conductor $112518$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bg1")
 
E.isogeny_class()
 

Elliptic curves in class 112518bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
112518.bl1 112518bg1 \([1, -1, 1, -86, 533]\) \(-95443993/100016\) \(-72911664\) \([]\) \(46080\) \(0.20393\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 112518bg1 has rank \(0\).

Complex multiplication

The elliptic curves in class 112518bg do not have complex multiplication.

Modular form 112518.2.a.bg

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 3 q^{5} + q^{7} + q^{8} + 3 q^{10} + 4 q^{13} + q^{14} + q^{16} - 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display