Properties

Label 221760.e
Number of curves $1$
Conductor $221760$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 221760.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
221760.e1 221760lv1 \([0, 0, 0, -15888, 885152]\) \(-37135043584/6847995\) \(-81792014008320\) \([]\) \(737280\) \(1.3942\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 221760.e1 has rank \(0\).

Complex multiplication

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

Modular form 221760.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} - q^{11} - 6 q^{13} + 5 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display