Properties

Label 18150u
Number of curves $1$
Conductor $18150$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 18150u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18150.f1 18150u1 \([1, 1, 0, -1575, -1380375]\) \(-625/1188\) \(-822115026562500\) \([]\) \(86400\) \(1.5409\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18150u1 has rank \(1\).

Complex multiplication

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

Modular form 18150.2.a.u

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