Properties

Label 18150.ba
Number of curves $1$
Conductor $18150$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 18150.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18150.ba1 18150bi1 \([1, 0, 1, -971, -16942]\) \(-18865/12\) \(-64307664300\) \([]\) \(22176\) \(0.77533\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18150.ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 18150.ba do not have complex multiplication.

Modular form 18150.2.a.ba

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - 4 q^{7} - q^{8} + q^{9} + q^{12} + q^{13} + 4 q^{14} + q^{16} - 2 q^{17} - q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display