Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("fa1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 87120.fa

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
87120.fa1 87120by1 \([0, 0, 0, -255148707, 1564877428994]\) \(5739907130357378/16142520375\) \(5166189175587484822272000\) \([]\) \(17233920\) \(3.6141\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 87120.fa1 has rank \(0\).

Complex multiplication

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

Modular form 87120.2.a.fa

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