Properties

Label 489762bb
Number of curves $1$
Conductor $489762$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 489762bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
489762.bb1 489762bb1 \([1, -1, 0, -35775, 2566669]\) \(243202777441/5007744\) \(104266082583936\) \([]\) \(1612800\) \(1.4802\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 489762bb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 489762bb do not have complex multiplication.

Modular form 489762.2.a.bb

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