Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("287490.k1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 287490.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
287490.k1 287490k1 [1, 1, 0, -135099793, 604351622413] [] 32845824 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 287490.k1 has rank \(0\).

Modular form 287490.2.a.k

sage: E.q_eigenform(10)
 
\( q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} + q^{7} - q^{8} + q^{9} + q^{10} + 2q^{11} - q^{12} + 2q^{13} - q^{14} + q^{15} + q^{16} - 5q^{17} - q^{18} + 4q^{19} + O(q^{20}) \)