↑

Properties

Label 477950l
Number of curves $1$
Conductor $477950$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
Copy content sage:E = EllipticCurve("l1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 477950l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 477950l do not have complex multiplication.

Modular form 477950.2.a.l

Copy content sage:E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - 4 q^{7} - q^{8} - 2 q^{9} - q^{12} - 4 q^{13} + 4 q^{14} + q^{16} + 4 q^{17} + 2 q^{18} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 477950l

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
477950.l1 477950l1 \([1, 1, 0, -5736975, 5286597925]\) \(-2282033126907134425/647168\) \(-5921991680000\) \([]\) \(9884160\) \(2.2577\) \(\Gamma_0(N)\)-optimal