Properties

Label 465690.q
Number of curves $1$
Conductor $465690$
CM no
Rank $0$

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

Elliptic curves in class 465690.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
465690.q1 465690q1 \([1, 0, 1, -2530641054, 48668368544656]\) \(292334014104851369809/2279103646924800\) \(13973335467691845117660364800\) \([]\) \(589498560\) \(4.2291\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 465690.q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 465690.q do not have complex multiplication.

Modular form 465690.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{5} - q^{6} - q^{8} + q^{9} + q^{10} - 5 q^{11} + q^{12} - 2 q^{13} - q^{15} + q^{16} + 8 q^{17} - q^{18} + O(q^{20})\) Copy content Toggle raw display