Properties

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

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 19404n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19404.m1 19404n1 \([0, 0, 0, 6027, 9831409]\) \(17643776/30438639\) \(-41769663928789104\) \([]\) \(138240\) \(1.8682\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19404n1 has rank \(0\).

Complex multiplication

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

Modular form 19404.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{11} + q^{13} + 6 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display