Properties

Label 259182.v
Number of curves $1$
Conductor $259182$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 259182.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
259182.v1 259182v1 \([1, -1, 0, -278059293, -1810224613499]\) \(-15214824455918309233/254808172265472\) \(-39818267719155241572630528\) \([]\) \(96307200\) \(3.7113\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 259182.v1 has rank \(1\).

Complex multiplication

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

Modular form 259182.2.a.v

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