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Properties

Label 477950c
Number of curves $1$
Conductor $477950$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("c1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 477950c1 has rank \(0\).

Complex multiplication

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

Modular form 477950.2.a.c

Copy content sage:E.q_eigenform(10)
 
\(q - q^{2} - 3 q^{3} + q^{4} + 3 q^{6} + 3 q^{7} - q^{8} + 6 q^{9} - 3 q^{12} + 4 q^{13} - 3 q^{14} + q^{16} - 3 q^{17} - 6 q^{18} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 477950c

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
477950.c1 477950c1 \([1, -1, 0, -184780492, 966836514166]\) \(-268400905304775148359/12482\) \(-32448324218750\) \([]\) \(80812800\) \(2.9939\) \(\Gamma_0(N)\)-optimal