Properties

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

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 18150.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18150.s1 18150r1 \([1, 1, 0, -2950, 56500]\) \(12019997/864\) \(204187500000\) \([]\) \(28800\) \(0.91695\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18150.s1 has rank \(1\).

Complex multiplication

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

Modular form 18150.2.a.s

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