Properties

Label 227430cd
Number of curves $1$
Conductor $227430$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cd1")
 
E.isogeny_class()
 

Elliptic curves in class 227430cd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
227430.dx1 227430cd1 \([1, -1, 1, -501434483, -4587151283629]\) \(-3119627664954721/228562145280\) \(-1021569319761140391495045120\) \([]\) \(143410176\) \(3.9318\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 227430cd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 227430cd do not have complex multiplication.

Modular form 227430.2.a.cd

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - q^{5} - q^{7} + q^{8} - q^{10} + 4 q^{11} - q^{13} - q^{14} + q^{16} - 2 q^{17} + O(q^{20})\) Copy content Toggle raw display