Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 18150.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18150.r1 18150t1 \([1, 1, 0, -491579200, -4195219076000]\) \(1296633753003985/17006112\) \(172302635842250512500000\) \([]\) \(6652800\) \(3.6028\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18150.r1 has rank \(1\).

Complex multiplication

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

Modular form 18150.2.a.r

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