Properties

Label 320892.bg
Number of curves $1$
Conductor $320892$
CM no
Rank $1$

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

Elliptic curves in class 320892.bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
320892.bg1 320892bg1 \([0, 1, 0, -136286, -24852423]\) \(-1195060552094464/443271489687\) \(-103839006088117872\) \([]\) \(4406400\) \(1.9753\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 320892.bg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 320892.bg do not have complex multiplication.

Modular form 320892.2.a.bg

sage: E.q_eigenform(10)
 
\(q + q^{3} + 4 q^{5} + q^{7} + q^{9} + q^{13} + 4 q^{15} - q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display