Properties

Label 188760.s
Number of curves $1$
Conductor $188760$
CM no
Rank $1$

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

Elliptic curves in class 188760.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
188760.s1 188760cu1 \([0, -1, 0, -285721, 59221021]\) \(-47007837184/316875\) \(-17388792426720000\) \([]\) \(1622016\) \(1.9512\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 188760.s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 188760.s do not have complex multiplication.

Modular form 188760.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{7} + q^{9} + q^{13} + q^{15} - 4 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display