Properties

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

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Show commands: SageMath
E = EllipticCurve("bf1")
 
E.isogeny_class()
 

Elliptic curves in class 188760.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
188760.bf1 188760v1 \([0, -1, 0, -10546400, -13278052500]\) \(-295505138346242/2574609375\) \(-1130271507736800000000\) \([]\) \(13178880\) \(2.8642\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 188760.bf1 has rank \(1\).

Complex multiplication

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

Modular form 188760.2.a.bf

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 2 q^{7} + q^{9} + q^{13} - q^{15} - 8 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display