Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("g1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 188760.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
188760.g1 188760be1 \([0, -1, 0, -1090976, -438353364]\) \(-327113348738/98865\) \(-43402425897093120\) \([]\) \(2509056\) \(2.1701\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 188760.g1 has rank \(1\).

Complex multiplication

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

Modular form 188760.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2q^{7} + q^{9} - q^{13} + q^{15} - 6q^{17} - 4q^{19} + O(q^{20})\)  Toggle raw display