↑

Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
Copy content sage:E = EllipticCurve("i1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 479408.i1 has rank \(1\).

Complex multiplication

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

Modular form 479408.2.a.i

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

Elliptic curves in class 479408.i

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
479408.i1 479408i1 \([0, 1, 0, -364369, -179858757]\) \(-444209247232/901708099\) \(-10859942892106296064\) \([]\) \(11335680\) \(2.3419\) \(\Gamma_0(N)\)-optimal