Properties

Label 3264.j
Number of curves $1$
Conductor $3264$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 3264.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3264.j1 3264q1 \([0, -1, 0, -6485, 203469]\) \(-1841198792704/3011499\) \(-49340399616\) \([]\) \(4224\) \(0.94847\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3264.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 3264.j do not have complex multiplication.

Modular form 3264.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 4 q^{7} + q^{9} + 3 q^{11} - 3 q^{13} - q^{15} - q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display