Properties

Label 283920g
Number of curves $1$
Conductor $283920$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 283920g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
283920.g1 283920g1 \([0, -1, 0, -290736, -59972160]\) \(813420049/4200\) \(14033178739507200\) \([]\) \(2515968\) \(1.9441\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 283920g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 283920g do not have complex multiplication.

Modular form 283920.2.a.g

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