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Properties

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

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Show commands: SageMath
Copy content sage:E = EllipticCurve("bc1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 476100.bc1 has rank \(0\).

Complex multiplication

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

Modular form 476100.2.a.bc

Copy content sage:E.q_eigenform(10)
 
\(q - 2 q^{7} - 2 q^{11} + q^{13} + 6 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 476100.bc

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
476100.bc1 476100bc1 \([0, 0, 0, 2737575, 21722657625]\) \(6912/625\) \(-205162545344769843750000\) \([]\) \(44513280\) \(3.1526\) \(\Gamma_0(N)\)-optimal