Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 9900ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9900.t1 9900ba1 \([0, 0, 0, 60000, -3557500]\) \(327680000/264627\) \(-19291308300000000\) \([]\) \(40320\) \(1.8127\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9900ba1 has rank \(1\).

Complex multiplication

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

Modular form 9900.2.a.ba

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