Properties

Label 163592s
Number of curves $1$
Conductor $163592$
CM no
Rank $1$

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

Elliptic curves in class 163592s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
163592.bk1 163592s1 \([0, 1, 0, -334000, 77650912]\) \(-235298/13\) \(-227661466675275776\) \([]\) \(1881600\) \(2.0884\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 163592s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 163592s do not have complex multiplication.

Modular form 163592.2.a.s

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + 5 q^{7} - 2 q^{9} + q^{15} + 3 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display