Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 259182g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
259182.g1 259182g1 \([1, -1, 0, -126099, 20414389]\) \(-2513898149714809/579901980672\) \(-51152573813096448\) \([]\) \(5117952\) \(1.9257\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 259182g1 has rank \(1\).

Complex multiplication

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

Modular form 259182.2.a.g

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