Properties

Label 270480hy
Number of curves $1$
Conductor $270480$
CM no
Rank $1$

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

Elliptic curves in class 270480hy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
270480.hy1 270480hy1 \([0, 1, 0, 22868235, -94703132637]\) \(2744564518708084736/9629735831296875\) \(-4640476327183343808000000\) \([]\) \(32348160\) \(3.4160\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 270480hy1 has rank \(1\).

Complex multiplication

The elliptic curves in class 270480hy do not have complex multiplication.

Modular form 270480.2.a.hy

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