Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("227430.d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 227430.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
227430.d1 227430fa1 [1, -1, 0, -341640, 76960800] [] 2112000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 227430.d1 has rank \(0\).

Modular form 227430.2.a.d

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