Properties

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

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Show commands: SageMath
E = EllipticCurve("fu1")
 
E.isogeny_class()
 

Elliptic curves in class 83790.fu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
83790.fu1 83790fi1 \([1, -1, 1, 523678, -112734079]\) \(185183253170999/171032148000\) \(-14668763900257908000\) \([]\) \(2211840\) \(2.3649\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 83790.fu1 has rank \(1\).

Complex multiplication

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

Modular form 83790.2.a.fu

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{5} + q^{8} + q^{10} + 5 q^{11} - 3 q^{13} + q^{16} - 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display