Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("em1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 87120.em

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
87120.em1 87120k1 \([0, 0, 0, -235587, -44010846]\) \(121995126/5\) \(59265943418880\) \([]\) \(337920\) \(1.7244\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 87120.em1 has rank \(1\).

Complex multiplication

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

Modular form 87120.2.a.em

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