Properties

Label 154560.hy
Number of curves $1$
Conductor $154560$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("hy1")
 
E.isogeny_class()
 

Elliptic curves in class 154560.hy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
154560.hy1 154560f1 \([0, 1, 0, 116675, 34554473]\) \(2744564518708084736/9629735831296875\) \(-616303093203000000\) \([]\) \(1347840\) \(2.0965\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 154560.hy1 has rank \(1\).

Complex multiplication

The elliptic curves in class 154560.hy do not have complex multiplication.

Modular form 154560.2.a.hy

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + q^{7} + q^{9} + q^{11} + q^{15} + 2 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display