Properties

Label 284592.j
Number of curves $1$
Conductor $284592$
CM no
Rank $1$

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

Elliptic curves in class 284592.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
284592.j1 284592j1 \([0, -1, 0, -110700, -14139684]\) \(-8985792737264/2187\) \(-36514291968\) \([]\) \(1548288\) \(1.4039\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 284592.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 284592.j do not have complex multiplication.

Modular form 284592.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{5} + q^{9} + 4 q^{13} + 4 q^{15} - 3 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display