Properties

Label 32200.o
Number of curves $1$
Conductor $32200$
CM no
Rank $1$

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

Elliptic curves in class 32200.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32200.o1 32200l1 \([0, 1, 0, -86833, 24490963]\) \(-144814859264/435654247\) \(-217827123500000000\) \([]\) \(259840\) \(2.0137\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32200.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 32200.o do not have complex multiplication.

Modular form 32200.2.a.o

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{7} - 2 q^{9} - 3 q^{11} + 3 q^{13} + 3 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display