Properties

Label 56784bf
Number of curves 11
Conductor 5678456784
CM no
Rank 00

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bf1")
 
E.isogeny_class()
 

Elliptic curves in class 56784bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
56784.m1 56784bf1 [0,1,0,6867259,22253052717][0, -1, 0, 6867259, 22253052717] 1811564780171264/118709745737311811564780171264/11870974573731 234696404628504389136384-234696404628504389136384 [][] 45158404515840 3.16613.1661 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 56784bf1 has rank 00.

Complex multiplication

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

Modular form 56784.2.a.bf

sage: E.q_eigenform(10)
 
qq3q5q7+q92q11+q15+q19+O(q20)q - q^{3} - q^{5} - q^{7} + q^{9} - 2 q^{11} + q^{15} + q^{19} + O(q^{20}) Copy content Toggle raw display