Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 18150.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18150.b1 18150w1 \([1, 1, 0, 11272600, -4263172800]\) \(1182427286584775/743008370688\) \(-99544026821445550080000\) \([]\) \(2683296\) \(3.1020\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18150.b1 has rank \(1\).

Complex multiplication

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

Modular form 18150.2.a.b

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