Properties

Label 67158.b
Number of curves $1$
Conductor $67158$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 67158.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
67158.b1 67158c1 \([1, -1, 0, 2084784, -10078991104]\) \(37114449798004688648421/1646687160552493416448\) \(-44460553334917322244096\) \([]\) \(6614400\) \(3.0255\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 67158.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 67158.b do not have complex multiplication.

Modular form 67158.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3 q^{5} - q^{7} - q^{8} + 3 q^{10} + q^{13} + q^{14} + q^{16} + 2 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display