Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("bp1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 189618.bp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
189618.bp1 189618h1 \([1, 0, 0, -9396, -351378]\) \(-41756642210557/4634982\) \(-10183055454\) \([]\) \(228096\) \(0.94915\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 189618.bp1 has rank \(0\).

Complex multiplication

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

Modular form 189618.2.a.bp

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