Properties

Label 200277k
Number of curves $1$
Conductor $200277$
CM no
Rank $0$

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

Elliptic curves in class 200277k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
200277.n1 200277k1 \([1, -1, 1, -131, -952]\) \(-68921/77\) \(-275781429\) \([]\) \(76800\) \(0.31412\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 200277k1 has rank \(0\).

Complex multiplication

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

Modular form 200277.2.a.k

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