Properties

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

Related objects

Downloads

Learn more

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

Elliptic curves in class 280.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
280.b1 280a1 \([0, -1, 0, -1, 5]\) \(-1024/35\) \(-8960\) \([]\) \(16\) \(-0.56133\) \(\Gamma_0(N)\)-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)
 
\(q - q^{3} - q^{5} - q^{7} - 2 q^{9} - 5 q^{11} + q^{13} + q^{15} + 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display