Properties

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

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 84150.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
84150.n1 84150dh1 \([1, -1, 0, 513, 11421]\) \(163667323/727056\) \(-66252978000\) \([]\) \(71680\) \(0.75886\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 84150.n1 has rank \(2\).

Complex multiplication

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

Modular form 84150.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3 q^{7} - q^{8} - q^{11} - 3 q^{13} + 3 q^{14} + q^{16} + q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display