Properties

Label 87120.q
Number of curves $1$
Conductor $87120$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("q1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 87120.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
87120.q1 87120et1 \([0, 0, 0, -2472030363, -42330634854838]\) \(21571025211960961/2488320000000\) \(192717235926318584954880000000\) \([]\) \(120637440\) \(4.3512\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 87120.q1 has rank \(0\).

Complex multiplication

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

Modular form 87120.2.a.q

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