Properties

Label 106722bm
Number of curves $1$
Conductor $106722$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bm1")
 
E.isogeny_class()
 

Elliptic curves in class 106722bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
106722.i1 106722bm1 \([1, -1, 0, -546849, 155701629]\) \(3233229419/2048\) \(11455653161981952\) \([]\) \(1995840\) \(2.0227\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 106722bm1 has rank \(0\).

Complex multiplication

The elliptic curves in class 106722bm do not have complex multiplication.

Modular form 106722.2.a.bm

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