Properties

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

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Show commands: SageMath
E = EllipticCurve("gd1")
 
E.isogeny_class()
 

Elliptic curves in class 227430gd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
227430.e1 227430gd1 \([1, -1, 0, -140911905, -649482556675]\) \(-243602310198023065827/2502840869200000\) \(-3179205549746633660400000\) \([]\) \(50803200\) \(3.5195\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 227430gd1 has rank \(0\).

Complex multiplication

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

Modular form 227430.2.a.gd

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