Properties

Label 58656.v
Number of curves 11
Conductor 5865658656
CM no
Rank 00

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 58656.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58656.v1 58656i1 [0,1,0,8,84][0, 1, 0, -8, -84] 125000/5499-125000/5499 2815488-2815488 [][] 72967296 0.082384-0.082384 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58656.v1 has rank 00.

Complex multiplication

The elliptic curves in class 58656.v do not have complex multiplication.

Modular form 58656.2.a.v

sage: E.q_eigenform(10)
 
q+q3+2q7+q92q11q135q176q19+O(q20)q + q^{3} + 2 q^{7} + q^{9} - 2 q^{11} - q^{13} - 5 q^{17} - 6 q^{19} + O(q^{20}) Copy content Toggle raw display