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Properties

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

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Show commands: SageMath
Copy content sage:E = EllipticCurve("d1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 477950.d1 has rank \(0\).

Complex multiplication

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

Modular form 477950.2.a.d

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

Elliptic curves in class 477950.d

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
477950.d1 477950d1 \([1, 0, 1, -3391, -55662]\) \(11776390945/3195392\) \(1169593356800\) \([]\) \(933120\) \(1.0236\) \(\Gamma_0(N)\)-optimal