Properties

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

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 9800.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9800.y1 9800g1 \([0, 1, 0, -148633, -22147637]\) \(-2249728/5\) \(-807072140000000\) \([]\) \(64512\) \(1.7431\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9800.y1 has rank \(0\).

Complex multiplication

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

Modular form 9800.2.a.y

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{9} - 5 q^{11} + 7 q^{13} - 3 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display