Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("bp1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 9800.bp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
9800.bp1 9800m1 [0, 0, 0, -175, 875] [] 3360 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9800.bp1 has rank \(0\).

Complex multiplication

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

Modular form 9800.2.a.bp

sage: E.q_eigenform(10)
 
\(q + 3q^{3} + 6q^{9} - q^{11} + 2q^{13} + 3q^{17} - 5q^{19} + O(q^{20})\)  Toggle raw display