Properties

Label 111573bg
Number of curves $1$
Conductor $111573$
CM no
Rank $2$

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

Elliptic curves in class 111573bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
111573.bb1 111573bg1 \([1, -1, 0, -2655, -48546]\) \(24137569/1771\) \(151891800291\) \([]\) \(92160\) \(0.89163\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 111573bg1 has rank \(2\).

Complex multiplication

The elliptic curves in class 111573bg do not have complex multiplication.

Modular form 111573.2.a.bg

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{4} - q^{5} - 3 q^{8} - q^{10} + q^{11} + q^{13} - q^{16} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display