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Properties

Label 476100b
Number of curves $1$
Conductor $476100$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("b1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 476100b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 476100b do not have complex multiplication.

Modular form 476100.2.a.b

Copy content sage:E.q_eigenform(10)
 
\(q - 4 q^{7} - 6 q^{11} - q^{13} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 476100b

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
476100.b1 476100b1 \([0, 0, 0, -5110140, -4459266335]\) \(-646266880/2187\) \(-49941201994463905200\) \([]\) \(21143808\) \(2.6439\) \(\Gamma_0(N)\)-optimal