Properties

Label 203280.j
Number of curves $1$
Conductor $203280$
CM no
Rank $0$

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

Elliptic curves in class 203280.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
203280.j1 203280hd1 \([0, -1, 0, -213226361, 1425116473365]\) \(-2364015519613191629824/566330060131171875\) \(-256841791399945978380000000\) \([]\) \(74188800\) \(3.7863\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 203280.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 203280.j do not have complex multiplication.

Modular form 203280.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - q^{7} + q^{9} - 2 q^{13} + q^{15} - 3 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display