Properties

Label 226512.fb
Number of curves 11
Conductor 226512226512
CM no
Rank 11

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Show commands: SageMath
E = EllipticCurve("fb1")
 
E.isogeny_class()
 

Elliptic curves in class 226512.fb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
226512.fb1 226512cn1 [0,0,0,2739,34738][0, 0, 0, -2739, 34738] 6289657/21976289657/2197 793785028608793785028608 [][] 276480276480 0.984810.98481 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 226512.fb1 has rank 11.

Complex multiplication

The elliptic curves in class 226512.fb do not have complex multiplication.

Modular form 226512.2.a.fb

sage: E.q_eigenform(10)
 
q+2q52q7+q13+7q176q19+O(q20)q + 2 q^{5} - 2 q^{7} + q^{13} + 7 q^{17} - 6 q^{19} + O(q^{20}) Copy content Toggle raw display