Properties

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

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 9800.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9800.bc1 9800f1 \([0, 1, 0, -20008, 7307488]\) \(-196/5\) \(-22598019920000000\) \([]\) \(48384\) \(1.8187\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9800.bc1 has rank \(0\).

Complex multiplication

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

Modular form 9800.2.a.bc

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