Properties

Label 9200.o
Number of curves $1$
Conductor $9200$
CM no
Rank $0$

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

Elliptic curves in class 9200.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9200.o1 9200h1 \([0, -1, 0, -8, -113]\) \(-256/23\) \(-5750000\) \([]\) \(1280\) \(-0.023342\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9200.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 9200.o do not have complex multiplication.

Modular form 9200.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{3} + 2 q^{7} - 2 q^{9} + 4 q^{11} + 5 q^{13} + 2 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display