Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 33327.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33327.i1 33327j1 \([1, -1, 1, -435731, -109982266]\) \(160261033/1029\) \(58744280809674621\) \([]\) \(317952\) \(2.0543\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33327.i1 has rank \(1\).

Complex multiplication

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

Modular form 33327.2.a.i

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