Properties

Label 222768j
Number of curves $1$
Conductor $222768$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 222768j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
222768.i1 222768j1 \([0, 0, 0, -2064, -527056]\) \(-325660672/40000779\) \(-119441686081536\) \([]\) \(706560\) \(1.3806\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 222768j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 222768j do not have complex multiplication.

Modular form 222768.2.a.j

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