Properties

Label 145794.l
Number of curves $1$
Conductor $145794$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 145794.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
145794.l1 145794q1 \([1, 0, 1, -60794, 21206828]\) \(-5092184946649/36886886784\) \(-179996240589035904\) \([]\) \(2128896\) \(1.9941\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 145794.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 145794.l do not have complex multiplication.

Modular form 145794.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{5} - q^{6} + q^{7} - q^{8} + q^{9} + q^{10} - q^{11} + q^{12} + 4 q^{13} - q^{14} - q^{15} + q^{16} - 6 q^{17} - q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display