Properties

Label 33327.j
Number of curves $1$
Conductor $33327$
CM no
Rank $1$

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

Elliptic curves in class 33327.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33327.j1 33327h1 \([1, -1, 0, -306, -2079]\) \(-8231953/441\) \(-170067681\) \([]\) \(10752\) \(0.33812\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33327.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 33327.j do not have complex multiplication.

Modular form 33327.2.a.j

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{4} - 3 q^{5} - q^{7} - 3 q^{8} - 3 q^{10} - 2 q^{11} - q^{13} - q^{14} - q^{16} - 2 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display