Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("227430.k1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 227430.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
227430.k1 227430fe1 [1, -1, 0, -62340, 23760800] [] 2419200 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 227430.k1 has rank \(1\).

Modular form 227430.2.a.k

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