Properties

Label 424830.j
Number of curves $1$
Conductor $424830$
CM no
Rank $2$

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

Elliptic curves in class 424830.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
424830.j1 424830j1 \([1, 1, 0, -208128, 329936832]\) \(-29324621982169/1366875000000\) \(-46474516816875000000\) \([]\) \(11430720\) \(2.4538\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 424830.j1 has rank \(2\).

Complex multiplication

The elliptic curves in class 424830.j do not have complex multiplication.

Modular form 424830.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - q^{8} + q^{9} + q^{10} - 2 q^{11} - q^{12} - q^{13} + q^{15} + q^{16} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display