Properties

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

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 9900e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9900.z1 9900e1 \([0, 0, 0, -18000, -977500]\) \(-238878720/14641\) \(-39530700000000\) \([]\) \(28800\) \(1.3636\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9900e1 has rank \(1\).

Complex multiplication

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

Modular form 9900.2.a.e

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