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Properties

Label 480339.l
Number of curves $1$
Conductor $480339$
CM no
Rank $1$

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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 480339.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 480339.l do not have complex multiplication.

Modular form 480339.2.a.l

Copy content sage:E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} - 3 q^{5} - q^{7} - 6 q^{10} - 3 q^{11} - 2 q^{14} - 4 q^{16} + 3 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 480339.l

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
480339.l1 480339l1 \([0, 0, 1, 1542141, 421061375]\) \(25102282752/19266931\) \(-311311588851481797171\) \([]\) \(24800256\) \(2.6204\) \(\Gamma_0(N)\)-optimal