Properties

Label 211600.bl
Number of curves 11
Conductor 211600211600
CM no
Rank 11

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 211600.bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
211600.bl1 211600ba1 [0,1,0,136658,20718187][0, -1, 0, -136658, 20718187] 7626496/575-7626496/575 21280159043750000-21280159043750000 [][] 12165121216512 1.88141.8814 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 211600.bl1 has rank 11.

Complex multiplication

The elliptic curves in class 211600.bl do not have complex multiplication.

Modular form 211600.2.a.bl

sage: E.q_eigenform(10)
 
qq3+2q72q94q11q134q19+O(q20)q - q^{3} + 2 q^{7} - 2 q^{9} - 4 q^{11} - q^{13} - 4 q^{19} + O(q^{20}) Copy content Toggle raw display