Properties

Label 466578.l
Number of curves $1$
Conductor $466578$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("l1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 466578.l1 has rank \(0\).

Complex multiplication

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

Modular form 466578.2.a.l

Copy content sage:E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3 q^{5} - q^{8} + 3 q^{10} + 2 q^{11} - 5 q^{13} + q^{16} - 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 466578.l

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
466578.l1 466578l1 \([1, -1, 0, 55217979, -279326117547]\) \(503009937352889/1201583849472\) \(-44477743585225562747928576\) \([]\) \(158146560\) \(3.6054\) \(\Gamma_0(N)\)-optimal