Properties

Label 56784.p
Number of curves $1$
Conductor $56784$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 56784.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
56784.p1 56784cf1 \([0, -1, 0, 5859, -607023]\) \(8192/63\) \(-171029365887744\) \([]\) \(149760\) \(1.4126\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 56784.p1 has rank \(0\).

Complex multiplication

The elliptic curves in class 56784.p do not have complex multiplication.

Modular form 56784.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{7} + q^{9} + q^{15} + 2 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display