Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 9800.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9800.p1 9800bn1 \([0, -1, 0, 8167, -6830963]\) \(1024/343\) \(-20176803500000000\) \([]\) \(46080\) \(1.8077\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9800.p1 has rank \(0\).

Complex multiplication

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

Modular form 9800.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{9} - q^{11} + q^{13} + 3 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display