Properties

Label 487872fq
Number of curves $1$
Conductor $487872$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("fq1")
 
E.isogeny_class()
 

Elliptic curves in class 487872fq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
487872.fq1 487872fq1 \([0, 0, 0, -13068, -2587464]\) \(-6912/77\) \(-2749400993332224\) \([]\) \(1474560\) \(1.6445\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 487872fq1 has rank \(0\).

Complex multiplication

The elliptic curves in class 487872fq do not have complex multiplication.

Modular form 487872.2.a.fq

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} - q^{13} + 2 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display