Properties

Label 18810.r
Number of curves $1$
Conductor $18810$
CM no
Rank $1$

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

Elliptic curves in class 18810.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18810.r1 18810q1 \([1, -1, 1, -428, -19569]\) \(-11867954041/222543200\) \(-162233992800\) \([]\) \(19200\) \(0.83206\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18810.r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 18810.r do not have complex multiplication.

Modular form 18810.2.a.r

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - q^{5} - q^{7} + q^{8} - q^{10} - q^{11} + q^{13} - q^{14} + q^{16} - q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display