Properties

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

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 19404k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19404.r1 19404k1 \([0, 0, 0, -41160, 3351796]\) \(-7168000/363\) \(-390533630522112\) \([]\) \(56448\) \(1.5605\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19404k1 has rank \(0\).

Complex multiplication

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

Modular form 19404.2.a.k

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