Properties

Label 72128.y
Number of curves $1$
Conductor $72128$
CM no
Rank $0$

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

Elliptic curves in class 72128.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
72128.y1 72128d1 \([0, -1, 0, 327, 17473]\) \(32000/1127\) \(-135772593152\) \([]\) \(36864\) \(0.81612\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 72128.y1 has rank \(0\).

Complex multiplication

The elliptic curves in class 72128.y do not have complex multiplication.

Modular form 72128.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{9} + 2 q^{11} - 3 q^{13} + O(q^{20})\) Copy content Toggle raw display