Properties

Label 143745.p
Number of curves $1$
Conductor $143745$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 143745.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
143745.p1 143745r1 \([0, -1, 1, -64194235, 197988104781]\) \(8329098721263616/4725\) \(16596465419776725\) \([]\) \(8311680\) \(2.8736\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 143745.p1 has rank \(0\).

Complex multiplication

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

Modular form 143745.2.a.p

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