Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 200277j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
200277.j1 200277j1 \([1, -1, 1, -1355, 16116]\) \(4515625/847\) \(51571127223\) \([]\) \(120960\) \(0.77341\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 200277j1 has rank \(2\).

Complex multiplication

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

Modular form 200277.2.a.j

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