Properties

Label 84150j
Number of curves $1$
Conductor $84150$
CM no
Rank $2$

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

Elliptic curves in class 84150j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
84150.bd1 84150j1 \([1, -1, 0, -25542, 2802116]\) \(-4368317413923/5475734000\) \(-2310075281250000\) \([]\) \(460800\) \(1.6414\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 84150j1 has rank \(2\).

Complex multiplication

The elliptic curves in class 84150j do not have complex multiplication.

Modular form 84150.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{7} - q^{8} + q^{11} - q^{13} + q^{14} + q^{16} - q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display