Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 9200.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9200.i1 9200m1 \([0, 1, 0, -2208, -40412]\) \(2977540/23\) \(9200000000\) \([]\) \(7680\) \(0.74082\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9200.i1 has rank \(0\).

Complex multiplication

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

Modular form 9200.2.a.i

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