Properties

Label 19890.t
Number of curves $1$
Conductor $19890$
CM no
Rank $1$

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

Elliptic curves in class 19890.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19890.t1 19890bb1 \([1, -1, 1, 34402, 1067397]\) \(6176736766011239/4260587175000\) \(-3105968050575000\) \([]\) \(115200\) \(1.6613\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19890.t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 19890.t do not have complex multiplication.

Modular form 19890.2.a.t

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - q^{5} - 2 q^{7} + q^{8} - q^{10} - 5 q^{11} + q^{13} - 2 q^{14} + q^{16} + q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display