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Properties

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

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Show commands: SageMath
Copy content sage:E = EllipticCurve("q1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 476100.q1 has rank \(1\).

Complex multiplication

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

Modular form 476100.2.a.q

Copy content sage:E.q_eigenform(10)
 
\(q - 3 q^{7} - 2 q^{11} - 2 q^{13} - 3 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 476100.q

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
476100.q1 476100q1 \([0, 0, 0, 1460040, -643634300]\) \(8192/9\) \(-378155603579479776000\) \([]\) \(11870208\) \(2.6350\) \(\Gamma_0(N)\)-optimal