Properties

Label 9800.ba
Number of curves $1$
Conductor $9800$
CM no
Rank $0$

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

Elliptic curves in class 9800.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9800.ba1 9800e1 \([0, 1, 0, -8248, 286768]\) \(-10303010/49\) \(-295157811200\) \([]\) \(13824\) \(1.0504\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9800.ba1 has rank \(0\).

Complex multiplication

The elliptic curves in class 9800.ba do not have complex multiplication.

Modular form 9800.2.a.ba

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