Properties

Label 38720.q
Number of curves $1$
Conductor $38720$
CM no
Rank $1$

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

Elliptic curves in class 38720.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38720.q1 38720cd1 \([0, -1, 0, -161, -2495]\) \(-14641/80\) \(-2537553920\) \([]\) \(18432\) \(0.48860\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38720.q1 has rank \(1\).

Complex multiplication

The elliptic curves in class 38720.q do not have complex multiplication.

Modular form 38720.2.a.q

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