Properties

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

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Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 9800.bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9800.bl1 9800bj1 \([0, -1, 0, -500208, 74086412]\) \(2450\) \(5649504980000000000\) \([]\) \(171360\) \(2.2958\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9800.bl1 has rank \(1\).

Complex multiplication

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

Modular form 9800.2.a.bl

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