Properties

Label 287490u
Number of curves $1$
Conductor $287490$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 287490u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
287490.u1 287490u1 \([1, 1, 0, 1141718, -2364427436]\) \(64148915349791/978796224000\) \(-2511323320946279616000\) \([]\) \(17729280\) \(2.7869\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 287490u1 has rank \(1\).

Complex multiplication

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

Modular form 287490.2.a.u

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