Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("bh1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 188760.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
188760.bh1 188760x1 \([0, -1, 0, -865, -334475]\) \(-2313389056/1561572675\) \(-48371275180800\) \([]\) \(430080\) \(1.3049\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 188760.bh1 has rank \(1\).

Complex multiplication

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

Modular form 188760.2.a.bh

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