Properties

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

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Show commands: SageMath
E = EllipticCurve("dc1")
 
E.isogeny_class()
 

Elliptic curves in class 216384.dc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
216384.dc1 216384ig1 \([0, -1, 0, -1928705, 1035120129]\) \(-25727239787761/101406816\) \(-3127485528954372096\) \([]\) \(3317760\) \(2.4065\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 216384.dc1 has rank \(1\).

Complex multiplication

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

Modular form 216384.2.a.dc

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