Properties

Label 39984bm
Number of curves $1$
Conductor $39984$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bm1")
 
E.isogeny_class()
 

Elliptic curves in class 39984bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
39984.s1 39984bm1 \([0, -1, 0, 2794699, 1625766717]\) \(5009339741732864/5271114033171\) \(-2540098743863439273984\) \([]\) \(1880064\) \(2.7939\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 39984bm1 has rank \(1\).

Complex multiplication

The elliptic curves in class 39984bm do not have complex multiplication.

Modular form 39984.2.a.bm

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