Properties

Label 144150.w
Number of curves $1$
Conductor $144150$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 144150.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
144150.w1 144150ex1 \([1, 1, 0, -4065, 318645]\) \(-9978084895/53747712\) \(-40029952204800\) \([]\) \(479232\) \(1.2942\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 144150.w1 has rank \(0\).

Complex multiplication

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

Modular form 144150.2.a.w

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