Properties

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

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

Elliptic curves in class 9200o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9200.bi1 9200o1 \([0, -1, 0, 7, -43]\) \(1024/23\) \(-736000\) \([]\) \(1408\) \(-0.19399\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9200o1 has rank \(1\).

Complex multiplication

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

Modular form 9200.2.a.o

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