Properties

Label 227850ee
Number of curves $1$
Conductor $227850$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ee1")
 
E.isogeny_class()
 

Elliptic curves in class 227850ee

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
227850.gp1 227850ee1 \([1, 1, 1, 119412, -8667219]\) \(102437538839/77137920\) \(-141799986720000000\) \([]\) \(3484800\) \(1.9793\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 227850ee1 has rank \(0\).

Complex multiplication

The elliptic curves in class 227850ee do not have complex multiplication.

Modular form 227850.2.a.ee

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} + q^{8} + q^{9} + 3 q^{11} - q^{12} - 2 q^{13} + q^{16} + 8 q^{17} + q^{18} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display