Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("ep1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 87120.ep

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
87120.ep1 87120di1 \([0, 0, 0, -35937, -2767149]\) \(-76032/5\) \(-337538068377840\) \([]\) \(304128\) \(1.5402\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 87120.ep1 has rank \(0\).

Complex multiplication

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

Modular form 87120.2.a.ep

sage: E.q_eigenform(10)
 
\(q + q^{5} - 6q^{13} - 7q^{17} + 4q^{19} + O(q^{20})\)  Toggle raw display