Properties

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

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Show commands: SageMath
E = EllipticCurve("fc1")
 
E.isogeny_class()
 

Elliptic curves in class 87120.fc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
87120.fc1 87120i1 \([0, 0, 0, -1947, 33066]\) \(121995126/5\) \(33454080\) \([]\) \(30720\) \(0.52547\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 87120.fc1 has rank \(1\).

Complex multiplication

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

Modular form 87120.2.a.fc

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