Properties

Label 1080.b
Number of curves $1$
Conductor $1080$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 1080.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1080.b1 1080d1 \([0, 0, 0, 297, -4077]\) \(1022208/3125\) \(-8857350000\) \([]\) \(720\) \(0.59201\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1080.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1080.b do not have complex multiplication.

Modular form 1080.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{5} - 2 q^{7} - 6 q^{13} + 7 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display