Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 83790.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
83790.r1 83790y1 \([1, -1, 0, -1566735, 823593581]\) \(-4959007166945889/543553252480\) \(-46618454022143230080\) \([]\) \(2580480\) \(2.5118\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 83790.r1 has rank \(1\).

Complex multiplication

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

Modular form 83790.2.a.r

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