Properties

Label 9633.o
Number of curves $1$
Conductor $9633$
CM no
Rank $0$

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

Elliptic curves in class 9633.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9633.o1 9633d1 \([0, -1, 1, -394, 3447]\) \(-1404928/171\) \(-825384339\) \([]\) \(9216\) \(0.44593\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9633.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 9633.o do not have complex multiplication.

Modular form 9633.2.a.o

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} - q^{3} + 2 q^{4} + 3 q^{5} - 2 q^{6} + 5 q^{7} + q^{9} + 6 q^{10} - q^{11} - 2 q^{12} + 10 q^{14} - 3 q^{15} - 4 q^{16} - q^{17} + 2 q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display