Properties

Label 412224bj
Number of curves $1$
Conductor $412224$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 412224bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
412224.bj1 412224bj1 \([0, -1, 0, 16611, 4854861]\) \(494976915433472/10252595536011\) \(-10498657828875264\) \([]\) \(3151872\) \(1.7545\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 412224bj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 412224bj do not have complex multiplication.

Modular form 412224.2.a.bj

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{5} - 3 q^{7} + q^{9} + 4 q^{11} + 5 q^{13} - 3 q^{15} + q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display