Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("227430.m1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 227430fg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
227430.m1 227430fg1 [1, -1, 0, -463050, -121498380] [] 2903040 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 227430fg1 has rank \(1\).

Modular form 227430.2.a.m

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