Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("n1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 9800.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9800.n1 9800bf1 \([0, -1, 0, -1633, -196363]\) \(-1024/35\) \(-16470860000000\) \([]\) \(18432\) \(1.2163\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9800.n1 has rank \(1\).

Complex multiplication

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

Modular form 9800.2.a.n

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