Properties

Label 20097.j
Number of curves $1$
Conductor $20097$
CM no
Rank $0$

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

Elliptic curves in class 20097.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20097.j1 20097c1 \([1, -1, 0, -2364, -77833]\) \(-74246873427/92019697\) \(-1811223696051\) \([]\) \(22464\) \(1.0456\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20097.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 20097.j do not have complex multiplication.

Modular form 20097.2.a.j

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