Properties

Label 227430fc
Number of curves $1$
Conductor $227430$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fc1")
 
E.isogeny_class()
 

Elliptic curves in class 227430fc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
227430.h1 227430fc1 \([1, -1, 0, -495, 9261]\) \(-51026761/107520\) \(-28295930880\) \([]\) \(161280\) \(0.69453\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 227430fc1 has rank \(1\).

Complex multiplication

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

Modular form 227430.2.a.fc

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