Properties

Label 144150ej
Number of curves $1$
Conductor $144150$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ej1")
 
E.isogeny_class()
 

Elliptic curves in class 144150ej

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
144150.b1 144150ej1 \([1, 1, 0, -360875, -90787875]\) \(-360187951921/37500000\) \(-541125585937500000\) \([]\) \(3456000\) \(2.1419\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 144150ej1 has rank \(1\).

Complex multiplication

The elliptic curves in class 144150ej do not have complex multiplication.

Modular form 144150.2.a.ej

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