Properties

Label 87120.co
Number of curves $1$
Conductor $87120$
CM no
Rank $1$

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

Elliptic curves in class 87120.co

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
87120.co1 87120cz1 \([0, 0, 0, -528, -4752]\) \(-1216512/25\) \(-334540800\) \([]\) \(38400\) \(0.42722\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 87120.co1 has rank \(1\).

Complex multiplication

The elliptic curves in class 87120.co do not have complex multiplication.

Modular form 87120.2.a.co

sage: E.q_eigenform(10)
 
\(q - q^{5} + 3q^{7} - 2q^{13} - 6q^{17} + 5q^{19} + O(q^{20})\)  Toggle raw display