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Properties

Label 476100p
Number of curves $1$
Conductor $476100$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("p1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 476100p1 has rank \(1\).

Complex multiplication

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

Modular form 476100.2.a.p

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

Elliptic curves in class 476100p

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
476100.p1 476100p1 \([0, 0, 0, -469950375, -3918123801250]\) \(87418160/81\) \(10635626350672868700000000\) \([]\) \(165335040\) \(3.7252\) \(\Gamma_0(N)\)-optimal