Properties

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

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Show commands: SageMath
E = EllipticCurve("eq1")
 
E.isogeny_class()
 

Elliptic curves in class 87120eq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
87120.n1 87120eq1 \([0, 0, 0, -363, 8602]\) \(-14641/80\) \(-28904325120\) \([]\) \(69120\) \(0.69133\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 87120eq1 has rank \(0\).

Complex multiplication

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

Modular form 87120.2.a.eq

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{7} + 8 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display