Properties

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

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 38720.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38720.y1 38720cb1 \([0, -1, 0, -161, -85919]\) \(-8/55\) \(-3192778096640\) \([]\) \(46080\) \(1.0782\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38720.y1 has rank \(1\).

Complex multiplication

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

Modular form 38720.2.a.y

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