Properties

Label 286650.s
Number of curves $1$
Conductor $286650$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 286650.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
286650.s1 286650s1 \([1, -1, 0, 100833, 34881741]\) \(2284322013/11927552\) \(-592002238464000000\) \([]\) \(3655680\) \(2.0923\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286650.s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 286650.s do not have complex multiplication.

Modular form 286650.2.a.s

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