Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("bi1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 9800.bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9800.bi1 9800b1 \([0, -1, 0, -294408, 71616812]\) \(-15298178/3125\) \(-576480100000000000\) \([]\) \(120960\) \(2.1303\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9800.bi1 has rank \(1\).

Complex multiplication

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

Modular form 9800.2.a.bi

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