Properties

Label 83790.f
Number of curves $1$
Conductor $83790$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 83790.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
83790.f1 83790bg1 \([1, -1, 0, -2340, 44176]\) \(-39678209809/18240\) \(-651551040\) \([]\) \(73728\) \(0.64811\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 83790.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 83790.f do not have complex multiplication.

Modular form 83790.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{8} + q^{10} - 4 q^{11} - q^{13} + q^{16} + 7 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display