Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 9200.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9200.b1 9200bd1 \([0, 0, 0, -25, -125]\) \(-6912/23\) \(-5750000\) \([]\) \(3072\) \(-0.016694\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9200.b1 has rank \(1\).

Complex multiplication

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

Modular form 9200.2.a.b

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