Properties

Label 259182j
Number of curves $1$
Conductor $259182$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 259182j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
259182.j1 259182j1 \([1, -1, 0, -2666076, -1672705072]\) \(496716522291/746368\) \(3149095162737896064\) \([]\) \(7451136\) \(2.4499\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 259182j1 has rank \(0\).

Complex multiplication

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

Modular form 259182.2.a.j

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