Properties

Label 33327e
Number of curves $1$
Conductor $33327$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 33327e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33327.m1 33327e1 \([1, -1, 0, -99, -124]\) \(14283/7\) \(52889949\) \([]\) \(6144\) \(0.17526\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33327e1 has rank \(1\).

Complex multiplication

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

Modular form 33327.2.a.e

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