Properties

Label 188760.bm
Number of curves $1$
Conductor $188760$
CM no
Rank $1$

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

Elliptic curves in class 188760.bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
188760.bm1 188760ch1 \([0, -1, 0, -104705, 445604997]\) \(-2313389056/1561572675\) \(-85692664630573228800\) \([]\) \(4730880\) \(2.5038\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 188760.bm1 has rank \(1\).

Complex multiplication

The elliptic curves in class 188760.bm do not have complex multiplication.

Modular form 188760.2.a.bm

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{7} + q^{9} - q^{13} - q^{15} + 2q^{17} - 5q^{19} + O(q^{20})\)  Toggle raw display