Properties

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

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Show commands: SageMath
E = EllipticCurve("hl1")
 
E.isogeny_class()
 

Elliptic curves in class 216384.hl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
216384.hl1 216384bl1 \([0, 1, 0, -1928705, -1035120129]\) \(-25727239787761/101406816\) \(-3127485528954372096\) \([]\) \(3317760\) \(2.4065\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 216384.hl1 has rank \(0\).

Complex multiplication

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

Modular form 216384.2.a.hl

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