Properties

Label 56350.bg
Number of curves $1$
Conductor $56350$
CM no
Rank $1$

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

Elliptic curves in class 56350.bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
56350.bg1 56350cb1 \([1, 1, 1, -47188, -9519819]\) \(-158034076225/438790688\) \(-32264553532820000\) \([]\) \(460800\) \(1.8550\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 56350.bg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 56350.bg do not have complex multiplication.

Modular form 56350.2.a.bg

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} + q^{8} - 2 q^{9} - 5 q^{11} - q^{12} - 2 q^{13} + q^{16} + 5 q^{17} - 2 q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display