Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("r1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 9800.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9800.r1 9800a1 \([0, -1, 0, -408, -21188]\) \(-196/5\) \(-192080000000\) \([]\) \(6912\) \(0.84571\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9800.r1 has rank \(1\).

Complex multiplication

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

Modular form 9800.2.a.r

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