Properties

Label 38720y
Number of curves $1$
Conductor $38720$
CM no
Rank $2$

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

Elliptic curves in class 38720y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38720.bc1 38720y1 \([0, -1, 0, 895, 177025]\) \(453962/78125\) \(-13629440000000\) \([]\) \(64512\) \(1.1995\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38720y1 has rank \(2\).

Complex multiplication

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

Modular form 38720.2.a.y

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