Properties

Label 145794.bg
Number of curves $1$
Conductor $145794$
CM no
Rank $0$

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

Elliptic curves in class 145794.bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
145794.bg1 145794o1 \([1, 1, 1, -281, 1361]\) \(1111075441/215622\) \(476308998\) \([]\) \(175104\) \(0.38208\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 145794.bg1 has rank \(0\).

Complex multiplication

The elliptic curves in class 145794.bg do not have complex multiplication.

Modular form 145794.2.a.bg

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + 4 q^{5} - q^{6} + 5 q^{7} + q^{8} + q^{9} + 4 q^{10} + q^{11} - q^{12} - q^{13} + 5 q^{14} - 4 q^{15} + q^{16} + 6 q^{17} + q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display