Properties

Label 141570.bg
Number of curves $1$
Conductor $141570$
CM no
Rank $0$

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

Elliptic curves in class 141570.bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141570.bg1 141570ek1 \([1, -1, 0, -2745, 4132651]\) \(-121/390\) \(-7374269188310310\) \([]\) \(1182720\) \(1.7237\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141570.bg1 has rank \(0\).

Complex multiplication

The elliptic curves in class 141570.bg do not have complex multiplication.

Modular form 141570.2.a.bg

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + 3q^{7} - q^{8} + q^{10} + q^{13} - 3q^{14} + q^{16} + 3q^{17} - 4q^{19} + O(q^{20})\)  Toggle raw display