Properties

Label 280.b
Number of curves $1$
Conductor $280$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 280.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
280.b1 280a1 [0, -1, 0, -1, 5] [] 16 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 280.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 280.b do not have complex multiplication.

Modular form 280.2.a.b

sage: E.q_eigenform(10)
 
\( q - q^{3} - q^{5} - q^{7} - 2q^{9} - 5q^{11} + q^{13} + q^{15} + 3q^{17} - 6q^{19} + O(q^{20}) \)