Properties

Label 19404s
Number of curves $1$
Conductor $19404$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 19404s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19404.w1 19404s1 \([0, 0, 0, -399, -3962]\) \(-768208/297\) \(-2715939072\) \([]\) \(6912\) \(0.51957\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19404s1 has rank \(0\).

Complex multiplication

The elliptic curves in class 19404s do not have complex multiplication.

Modular form 19404.2.a.s

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