Properties

Label 404320ce
Number of curves $1$
Conductor $404320$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ce1")
 
E.isogeny_class()
 

Elliptic curves in class 404320ce

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
404320.ce1 404320ce1 \([0, 0, 0, 2888, -109744]\) \(13824/35\) \(-6744497500160\) \([]\) \(1327104\) \(1.1454\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 404320ce1 has rank \(1\).

Complex multiplication

The elliptic curves in class 404320ce do not have complex multiplication.

Modular form 404320.2.a.ce

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + q^{5} - q^{7} + 6 q^{9} - 3 q^{11} - q^{13} + 3 q^{15} - q^{17} + O(q^{20})\) Copy content Toggle raw display