Properties

Label 450840.i
Number of curves $1$
Conductor $450840$
CM no
Rank $0$

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

Elliptic curves in class 450840.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450840.i1 450840i1 \([0, -1, 0, 994064, 1296103261]\) \(57254027008/415803375\) \(-788947828504572438000\) \([]\) \(17860608\) \(2.6914\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450840.i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 450840.i do not have complex multiplication.

Modular form 450840.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{7} + q^{9} + 3q^{11} + q^{13} + q^{15} + 5q^{19} + O(q^{20})\)  Toggle raw display