Properties

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

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 227430.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
227430.n1 227430fh1 \([1, -1, 0, -1516446450, 23211645989076]\) \(-1639438054438062619/40650200801280\) \(-9562526069187127017464340480\) \([]\) \(221312000\) \(4.1537\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 227430.n1 has rank \(0\).

Complex multiplication

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

Modular form 227430.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{7} - q^{8} + q^{10} + 3 q^{11} - 5 q^{13} + q^{14} + q^{16} - 5 q^{17} + O(q^{20})\) Copy content Toggle raw display