Properties

Label 448844e
Number of curves $1$
Conductor $448844$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 448844e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
448844.e1 448844e1 \([0, 1, 0, -1686565, 883359751]\) \(-1952382976/112211\) \(-30493244830486735616\) \([]\) \(13219200\) \(2.4953\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 448844e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 448844e do not have complex multiplication.

Modular form 448844.2.a.e

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 4 q^{7} - 2 q^{9} + q^{11} + 4 q^{13} + q^{15} + 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display