Properties

Label 350658ds
Number of curves $1$
Conductor $350658$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ds1")
 
E.isogeny_class()
 

Elliptic curves in class 350658ds

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
350658.ds1 350658ds1 \([1, -1, 1, -126347, 171151643]\) \(-172715635009/9694992384\) \(-12520772123634948096\) \([]\) \(6758400\) \(2.3444\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 350658ds1 has rank \(1\).

Complex multiplication

The elliptic curves in class 350658ds do not have complex multiplication.

Modular form 350658.2.a.ds

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{5} + q^{7} + q^{8} + q^{10} - 3 q^{13} + q^{14} + q^{16} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display