Properties

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

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 19404t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19404.h1 19404t1 \([0, 0, 0, 15729, -501914]\) \(47061251888/39135393\) \(-357876575578368\) \([]\) \(57600\) \(1.4803\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19404t1 has rank \(0\).

Complex multiplication

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

Modular form 19404.2.a.t

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