Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 33327.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33327.r1 33327k1 \([0, 0, 1, 2226561, 802933789]\) \(929714176/750141\) \(-984965356335814370307\) \([]\) \(1854720\) \(2.7161\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33327.r1 has rank \(1\).

Complex multiplication

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

Modular form 33327.2.a.r

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