Properties

Label 236992.bg
Number of curves $1$
Conductor $236992$
CM no
Rank $1$

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

Elliptic curves in class 236992.bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
236992.bg1 236992bg1 \([0, 0, 0, 1012, 6256]\) \(3306204/2401\) \(-83239174144\) \([]\) \(135168\) \(0.78376\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 236992.bg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 236992.bg do not have complex multiplication.

Modular form 236992.2.a.bg

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} - 3q^{9} + q^{13} - 2q^{17} - 8q^{19} + O(q^{20})\)  Toggle raw display