Properties

Label 423.b
Number of curves $1$
Conductor $423$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 423.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
423.b1 423f1 \([0, 0, 1, -237, 1404]\) \(2019487744/141\) \(102789\) \([]\) \(96\) \(0.014881\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 423.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 423.b do not have complex multiplication.

Modular form 423.2.a.b

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + q^{5} - 3 q^{7} - 2 q^{10} - q^{11} - 2 q^{13} + 6 q^{14} - 4 q^{16} - 2 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display