Properties

Label 259182y
Number of curves $1$
Conductor $259182$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 259182y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
259182.y1 259182y1 \([1, -1, 0, -306213, 65305411]\) \(-548643372651/81634\) \(-472472268071958\) \([]\) \(2027520\) \(1.8294\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 259182y1 has rank \(2\).

Complex multiplication

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

Modular form 259182.2.a.y

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