Properties

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

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 9800.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9800.be1 9800x1 \([0, 1, 0, -408, 2813]\) \(12544\) \(600250000\) \([]\) \(3360\) \(0.42785\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9800.be1 has rank \(0\).

Complex multiplication

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

Modular form 9800.2.a.be

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