Properties

Label 60984ck
Number of curves $1$
Conductor $60984$
CM no
Rank $1$

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

Elliptic curves in class 60984ck

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60984.d1 60984ck1 \([0, 0, 0, 17061, -2045626]\) \(50250332/194481\) \(-2125569964041216\) \([]\) \(245760\) \(1.6238\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 60984ck1 has rank \(1\).

Complex multiplication

The elliptic curves in class 60984ck do not have complex multiplication.

Modular form 60984.2.a.ck

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