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Properties

Label 479408h
Number of curves $1$
Conductor $479408$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("h1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 479408h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 479408h do not have complex multiplication.

Modular form 479408.2.a.h

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

Elliptic curves in class 479408h

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
479408.h1 479408h1 \([0, 1, 0, 724768, -357175820]\) \(605245247/1143574\) \(-79552352751814795264\) \([]\) \(15266880\) \(2.5032\) \(\Gamma_0(N)\)-optimal