Properties

Label 140790.j
Number of curves $1$
Conductor $140790$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 140790.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
140790.j1 140790ci1 \([1, 1, 0, -6479614277, 260981861558349]\) \(-1771504931165862139195321/707368735840665600000\) \(-12013641518382420349000089600000\) \([]\) \(325036800\) \(4.6724\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 140790.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 140790.j do not have complex multiplication.

Modular form 140790.2.a.j

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