Properties

Label 84966.j
Number of curves $1$
Conductor $84966$
CM no
Rank $0$

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

Elliptic curves in class 84966.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
84966.j1 84966h1 \([1, 1, 0, -18501641, -87238804155]\) \(-17417218777/71663616\) \(-2881870153071463139475456\) \([]\) \(18892440\) \(3.3786\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 84966.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 84966.j do not have complex multiplication.

Modular form 84966.2.a.j

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