Properties

Label 200277u
Number of curves $1$
Conductor $200277$
CM no
Rank $2$

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

Elliptic curves in class 200277u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
200277.y1 200277u1 \([1, -1, 0, -87417, -9920286]\) \(350662100640625/246071287\) \(51842544816447\) \([]\) \(864000\) \(1.5679\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 200277u1 has rank \(2\).

Complex multiplication

The elliptic curves in class 200277u do not have complex multiplication.

Modular form 200277.2.a.u

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