Properties

Label 143745.u
Number of curves $1$
Conductor $143745$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 143745.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
143745.u1 143745n1 \([0, 1, 1, -24395, -1433101]\) \(1172844765282304/37975888125\) \(51988990843125\) \([]\) \(304128\) \(1.4057\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 143745.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 143745.u do not have complex multiplication.

Modular form 143745.2.a.u

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