Properties

Label 6534b
Number of curves $1$
Conductor $6534$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 6534b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6534.n1 6534b1 \([1, -1, 0, -6738, 952892]\) \(-729/8\) \(-371291875215624\) \([]\) \(28512\) \(1.4777\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6534b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6534b do not have complex multiplication.

Modular form 6534.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 3 q^{5} - q^{8} - 3 q^{10} + 3 q^{13} + q^{16} - 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display