Properties

Label 200277p
Number of curves $1$
Conductor $200277$
CM no
Rank $1$

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

Elliptic curves in class 200277p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
200277.o1 200277p1 \([0, 0, 1, 13677792, 83288999542]\) \(55648414859264/621508960611\) \(-3160576406583531825052779\) \([]\) \(22560768\) \(3.3820\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 200277p1 has rank \(1\).

Complex multiplication

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

Modular form 200277.2.a.p

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} - q^{5} - q^{7} - q^{11} - 6 q^{13} + 4 q^{16} + O(q^{20})\) Copy content Toggle raw display