Properties

Label 66248.s
Number of curves $1$
Conductor $66248$
CM no
Rank $1$

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

Elliptic curves in class 66248.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66248.s1 66248r1 \([0, 1, 0, -135256, -17823779]\) \(12544\) \(21815265186407056\) \([]\) \(322560\) \(1.8786\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 66248.s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 66248.s do not have complex multiplication.

Modular form 66248.2.a.s

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - 2 q^{9} - 3 q^{11} - q^{15} + 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display