Properties

Label 162450.co
Number of curves $1$
Conductor $162450$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("co1")
 
E.isogeny_class()
 

Elliptic curves in class 162450.co

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
162450.co1 162450el1 \([1, -1, 0, -3873417, 3134057741]\) \(-11993263569/972800\) \(-521305998184800000000\) \([]\) \(10644480\) \(2.7215\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 162450.co1 has rank \(1\).

Complex multiplication

The elliptic curves in class 162450.co do not have complex multiplication.

Modular form 162450.2.a.co

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 5 q^{7} - q^{8} + 4 q^{11} - q^{13} - 5 q^{14} + q^{16} - 3 q^{17} + O(q^{20})\) Copy content Toggle raw display