Properties

Label 19074l
Number of curves 1
Conductor 19074
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("19074.t1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 19074l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
19074.t1 19074l1 [1, 1, 1, 572, -7375] [] 16128 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19074l1 has rank \(0\).

Modular form 19074.2.a.t

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