Properties

Label 89280.ck
Number of curves $1$
Conductor $89280$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ck1")
 
E.isogeny_class()
 

Elliptic curves in class 89280.ck

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
89280.ck1 89280bg1 \([0, 0, 0, -13277388, -18718439312]\) \(-1354547383894636849/8173828125000\) \(-1562042880000000000000\) \([]\) \(7188480\) \(2.9062\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 89280.ck1 has rank \(0\).

Complex multiplication

The elliptic curves in class 89280.ck do not have complex multiplication.

Modular form 89280.2.a.ck

sage: E.q_eigenform(10)
 
\(q - q^{5} + 3 q^{7} + 5 q^{11} + 6 q^{13} + 4 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display