Properties

Label 216384cl
Number of curves $1$
Conductor $216384$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cl1")
 
E.isogeny_class()
 

Elliptic curves in class 216384cl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
216384.f1 216384cl1 \([0, -1, 0, -1045, 18061]\) \(-3211264/1587\) \(-62429380608\) \([]\) \(313344\) \(0.77666\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 216384cl1 has rank \(1\).

Complex multiplication

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

Modular form 216384.2.a.cl

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{5} + q^{9} + 2 q^{11} - q^{13} + 4 q^{15} + 6 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display