Properties

Label 485520co
Number of curves $1$
Conductor $485520$
CM no
Rank $1$

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

Elliptic curves in class 485520co

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
485520.co1 485520co1 \([0, -1, 0, -9194920, 10734806320]\) \(-72628961394279272329/24608375505\) \(-29130016853790720\) \([]\) \(12856320\) \(2.5163\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 485520co1 has rank \(1\).

Complex multiplication

The elliptic curves in class 485520co do not have complex multiplication.

Modular form 485520.2.a.co

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - q^{7} + q^{9} - q^{11} - q^{13} - q^{15} + O(q^{20})\) Copy content Toggle raw display