Properties

Label 221760.y
Number of curves $1$
Conductor $221760$
CM no
Rank $1$

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

Elliptic curves in class 221760.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
221760.y1 221760fk1 \([0, 0, 0, -4728, 404462]\) \(-250523582464/1369738755\) \(-63906531353280\) \([]\) \(460800\) \(1.3331\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 221760.y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 221760.y do not have complex multiplication.

Modular form 221760.2.a.y

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