Properties

Label 259182p
Number of curves $1$
Conductor $259182$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 259182p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
259182.p1 259182p1 \([1, -1, 0, 7419, -47899]\) \(34965783/20944\) \(-27048505142736\) \([]\) \(860160\) \(1.2667\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 259182p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 259182p do not have complex multiplication.

Modular form 259182.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3 q^{5} + q^{7} - q^{8} + 3 q^{10} + 3 q^{13} - q^{14} + q^{16} + q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display