Properties

Label 466752cy
Number of curves $1$
Conductor $466752$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cy1")
 
E.isogeny_class()
 

Elliptic curves in class 466752cy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
466752.cy1 466752cy1 \([0, 1, 0, -150881, -47111649]\) \(-1449073218392281/2811246362496\) \(-736951366450151424\) \([]\) \(6709248\) \(2.1181\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 466752cy1 has rank \(1\).

Complex multiplication

The elliptic curves in class 466752cy do not have complex multiplication.

Modular form 466752.2.a.cy

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - q^{7} + q^{9} - q^{11} - q^{13} - q^{15} - q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display