Properties

Label 427119.b
Number of curves $1$
Conductor $427119$
CM no
Rank $0$

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

Elliptic curves in class 427119.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
427119.b1 427119b1 \([0, 1, 1, -1139600, -303925078]\) \(7573504/2541\) \(54914776558055276709\) \([]\) \(18840192\) \(2.4902\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 427119.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 427119.b do not have complex multiplication.

Modular form 427119.2.a.b

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + q^{3} + 2 q^{4} + q^{5} - 2 q^{6} + q^{7} + q^{9} - 2 q^{10} - q^{11} + 2 q^{12} + 4 q^{13} - 2 q^{14} + q^{15} - 4 q^{16} + 2 q^{17} - 2 q^{18} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display