Properties

Label 19074.h
Number of curves 1
Conductor 19074
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("19074.h1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 19074.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
19074.h1 19074g1 [1, 0, 1, -1647, -25856] [] 11232 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19074.h1 has rank \(0\).

Modular form 19074.2.a.h

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