Properties

Label 485520.hy
Number of curves $1$
Conductor $485520$
CM no
Rank $1$

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

Elliptic curves in class 485520.hy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
485520.hy1 485520hy1 \([0, 1, 0, -11520, -525900]\) \(-142843688929/16800000\) \(-19886899200000\) \([]\) \(1105920\) \(1.2876\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 485520.hy1 has rank \(1\).

Complex multiplication

The elliptic curves in class 485520.hy do not have complex multiplication.

Modular form 485520.2.a.hy

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + q^{7} + q^{9} - q^{11} - 3 q^{13} + q^{15} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display