Properties

Label 9900b
Number of curves $1$
Conductor $9900$
CM no
Rank $1$

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

Elliptic curves in class 9900b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9900.d1 9900b1 \([0, 0, 0, -6480, 211140]\) \(-238878720/14641\) \(-1844344339200\) \([]\) \(17280\) \(1.1082\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9900b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 9900b do not have complex multiplication.

Modular form 9900.2.a.b

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} + q^{11} + 3 q^{13} - 8 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display