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Properties

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

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Show commands: SageMath
Copy content sage:E = EllipticCurve("s1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 476100s1 has rank \(0\).

Complex multiplication

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

Modular form 476100.2.a.s

Copy content sage:E.q_eigenform(10)
 
\(q - 3 q^{7} - q^{13} - 4 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 476100s

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
476100.s1 476100s1 \([0, 0, 0, -7300200, -7695627500]\) \(-188416/3\) \(-685064499238188000000\) \([]\) \(21196800\) \(2.7990\) \(\Gamma_0(N)\)-optimal