Properties

Label 226512.eu
Number of curves 11
Conductor 226512226512
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("eu1")
 
E.isogeny_class()
 

Elliptic curves in class 226512.eu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
226512.eu1 226512co1 [0,0,0,10659,424798][0, 0, 0, -10659, -424798] 370680937/1248-370680937/1248 450907471872-450907471872 [][] 230400230400 1.10061.1006 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 226512.eu1 has rank 00.

Complex multiplication

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

Modular form 226512.2.a.eu

sage: E.q_eigenform(10)
 
q+2q52q7q13q19+O(q20)q + 2 q^{5} - 2 q^{7} - q^{13} - q^{19} + O(q^{20}) Copy content Toggle raw display