Properties

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

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 143745.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
143745.q1 143745s1 \([0, -1, 1, -275625, -55371094]\) \(1235589508366336/5980078125\) \(11207629198828125\) \([]\) \(967680\) \(1.9281\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 143745.q1 has rank \(0\).

Complex multiplication

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

Modular form 143745.2.a.q

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