Properties

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

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("19074.v1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 19074o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
19074.v1 19074o1 [1, 1, 1, -168782, 750089099] [] 587520 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19074o1 has rank \(0\).

Modular form 19074.2.a.v

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