Properties

Label 250173.u
Number of curves $1$
Conductor $250173$
CM no
Rank $1$

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

Elliptic curves in class 250173.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
250173.u1 250173u1 \([0, 0, 1, -17328, 649890]\) \(16777216/4389\) \(150527106975861\) \([]\) \(599040\) \(1.4293\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 250173.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 250173.u do not have complex multiplication.

Modular form 250173.2.a.u

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} - q^{5} + q^{7} + q^{11} + 4 q^{16} + 6 q^{17} + O(q^{20})\) Copy content Toggle raw display