Properties

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

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 188760.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
188760.q1 188760bi1 \([0, -1, 0, 279, -2979]\) \(7023616/14625\) \(-4983264000\) \([]\) \(87552\) \(0.54512\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 188760.q1 has rank \(1\).

Complex multiplication

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

Modular form 188760.2.a.q

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