Properties

Label 19074u
Number of curves 1
Conductor 19074
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("19074.u1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 19074u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
19074.u1 19074u1 [1, 1, 1, -57, -201] [] 4608 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19074u1 has rank \(1\).

Modular form 19074.2.a.u

sage: E.q_eigenform(10)
 
\( q + q^{2} - q^{3} + q^{4} + 2q^{5} - q^{6} - 5q^{7} + q^{8} + q^{9} + 2q^{10} + q^{11} - q^{12} - q^{13} - 5q^{14} - 2q^{15} + q^{16} + q^{18} + q^{19} + O(q^{20}) \)