Properties

Label 6240.q
Number of curves $1$
Conductor $6240$
CM no
Rank $1$

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

Elliptic curves in class 6240.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6240.q1 6240n1 \([0, 1, 0, 19, 219]\) \(175616/4875\) \(-19968000\) \([]\) \(1920\) \(0.080898\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6240.q1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6240.q do not have complex multiplication.

Modular form 6240.2.a.q

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - 5 q^{7} + q^{9} - q^{11} + q^{13} - q^{15} + 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display