Properties

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

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 84150e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
84150.bc1 84150e1 \([1, -1, 0, -417, 15741]\) \(-19034163/239360\) \(-100980000000\) \([]\) \(86016\) \(0.79326\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 84150e1 has rank \(2\).

Complex multiplication

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

Modular form 84150.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{7} - q^{8} - q^{11} + q^{13} + q^{14} + q^{16} + q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display