Properties

Label 350658i
Number of curves $1$
Conductor $350658$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 350658i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
350658.i1 350658i1 \([1, -1, 0, -138, 644]\) \(89326611/2576\) \(8415792\) \([]\) \(98304\) \(0.10681\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 350658i1 has rank \(2\).

Complex multiplication

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

Modular form 350658.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 2 q^{5} - q^{7} - q^{8} + 2 q^{10} + q^{14} + q^{16} - 6 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display