Properties

Label 145794.e
Number of curves $1$
Conductor $145794$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 145794.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
145794.e1 145794bj1 \([1, 1, 0, -44033212507818, -112465350544613709996]\) \(-396535398179707820597372045631529/57779298861318144\) \(-1375799448302407257537940291584\) \([]\) \(5730600960\) \(6.1047\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 145794.e1 has rank \(0\).

Complex multiplication

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

Modular form 145794.2.a.e

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