Properties

Label 350064.y
Number of curves $1$
Conductor $350064$
CM no
Rank $1$

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

Elliptic curves in class 350064.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
350064.y1 350064y1 \([0, 0, 0, 105, -1726]\) \(686000/7293\) \(-1361048832\) \([]\) \(187392\) \(0.43367\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 350064.y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 350064.y do not have complex multiplication.

Modular form 350064.2.a.y

sage: E.q_eigenform(10)
 
\(q - 5 q^{7} - q^{11} - q^{13} - q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display