Properties

Label 216384ck
Number of curves $1$
Conductor $216384$
CM no
Rank $0$

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

Elliptic curves in class 216384ck

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
216384.e1 216384ck1 \([0, -1, 0, -270405, -77748579]\) \(-389094786976768/240588123669\) \(-1352035965640163328\) \([]\) \(4386816\) \(2.1808\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 216384ck1 has rank \(0\).

Complex multiplication

The elliptic curves in class 216384ck do not have complex multiplication.

Modular form 216384.2.a.ck

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{5} + q^{9} - q^{11} + 4 q^{15} + 6 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display