Properties

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

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

Elliptic curves in class 84150g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
84150.f1 84150g1 \([1, -1, 0, -26547, 1671651]\) \(-3065317685686755/343605394\) \(-231933640950\) \([]\) \(209280\) \(1.2091\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 84150g1 has rank \(2\).

Complex multiplication

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

Modular form 84150.2.a.g

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