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Properties

Label 287490.p
Number of curves $1$
Conductor $287490$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("p1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 287490.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
287490.p1 287490p1 [1, 1, 0, -160482422, 5543562953556] [] 342856800 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 287490.p1 has rank \(0\).

Complex multiplication

The elliptic curves in class 287490.p do not have complex multiplication.

Modular form 287490.2.a.p

sage: E.q_eigenform(10)
 
\( q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} - q^{7} - q^{8} + q^{9} - q^{10} - 6q^{11} - q^{12} - 6q^{13} + q^{14} - q^{15} + q^{16} - 6q^{17} - q^{18} + O(q^{20}) \)