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Properties

Label 478800i
Number of curves $1$
Conductor $478800$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("i1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 478800i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 478800i do not have complex multiplication.

Modular form 478800.2.a.i

Copy content sage:E.q_eigenform(10)
 
\(q - q^{7} - 5 q^{11} - 7 q^{13} + 7 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 478800i

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
478800.i1 478800i1 \([0, 0, 0, -2773875, -1781468750]\) \(-404731359773/864234\) \(-5040212688000000000\) \([]\) \(16588800\) \(2.4732\) \(\Gamma_0(N)\)-optimal