Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("j1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 9200.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9200.j1 9200p1 \([0, 1, 0, -208, -1212]\) \(1562500/23\) \(14720000\) \([]\) \(3072\) \(0.17860\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9200.j1 has rank \(1\).

Complex multiplication

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

Modular form 9200.2.a.j

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