Properties

Label 254898s
Number of curves $1$
Conductor $254898$
CM no
Rank $1$

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

Elliptic curves in class 254898s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
254898.s1 254898s1 \([1, -1, 0, 799524, 117395536]\) \(2280364702703/1560674304\) \(-38683511566353432576\) \([]\) \(9400320\) \(2.4471\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 254898s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 254898s do not have complex multiplication.

Modular form 254898.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3q^{5} - q^{8} + 3q^{10} + 5q^{11} + q^{16} - 6q^{19} + O(q^{20})\)  Toggle raw display