Properties

Label 33327.o
Number of curves $1$
Conductor $33327$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 33327.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33327.o1 33327n1 \([1, -1, 0, -161973, 26266842]\) \(-8231953/441\) \(-25176120347003409\) \([]\) \(247296\) \(1.9059\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33327.o1 has rank \(0\).

Complex multiplication

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

Modular form 33327.2.a.o

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