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Properties

Label 479408.s
Number of curves $1$
Conductor $479408$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("s1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 479408.s1 has rank \(1\).

Complex multiplication

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

Modular form 479408.2.a.s

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

Elliptic curves in class 479408.s

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
479408.s1 479408s1 \([0, 1, 0, -3369, 239450]\) \(-5619712/29963\) \(-22554171718448\) \([]\) \(725760\) \(1.2464\) \(\Gamma_0(N)\)-optimal