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Properties

Label 480896.a
Number of curves $1$
Conductor $480896$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("a1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 480896.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 480896.a do not have complex multiplication.

Modular form 480896.2.a.a

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

Elliptic curves in class 480896.a

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
480896.a1 480896a1 \([0, 0, 0, -289, 9826]\) \(-864/13\) \(-40164914816\) \([]\) \(704000\) \(0.71609\) \(\Gamma_0(N)\)-optimal