Properties

Label 189618bm
Number of curves $1$
Conductor $189618$
CM no
Rank $0$

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

Elliptic curves in class 189618bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
189618.e1 189618bm1 \([1, 1, 0, -3955, -1921811]\) \(-3115334495125/723183538176\) \(-1588834233372672\) \([]\) \(1057536\) \(1.5961\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 189618bm1 has rank \(0\).

Complex multiplication

The elliptic curves in class 189618bm do not have complex multiplication.

Modular form 189618.2.a.bm

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