Properties

Label 466578i
Number of curves $1$
Conductor $466578$
CM no
Rank $2$

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

Elliptic curves in class 466578i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
466578.i1 466578i1 \([1, -1, 0, -1191591, -481264659]\) \(4124146838737/178564176\) \(8101506307568005584\) \([]\) \(11501568\) \(2.3919\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 466578i1 has rank \(2\).

Complex multiplication

The elliptic curves in class 466578i do not have complex multiplication.

Modular form 466578.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3 q^{5} - q^{8} + 3 q^{10} - 2 q^{11} + q^{16} + 5 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display