Properties

Label 20280.j
Number of curves $1$
Conductor $20280$
CM no
Rank $1$

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

Elliptic curves in class 20280.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20280.j1 20280e1 \([0, -1, 0, -58361, -5407299]\) \(-17790954496/195\) \(-240954305280\) \([]\) \(80640\) \(1.3382\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20280.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 20280.j do not have complex multiplication.

Modular form 20280.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 5 q^{7} + q^{9} - q^{11} + q^{15} - 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display