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Properties

Label 493680.dy
Number of curves $1$
Conductor $493680$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("dy1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 493680.dy1 has rank \(0\).

Complex multiplication

The elliptic curves in class 493680.dy do not have complex multiplication.

Modular form 493680.2.a.dy

Copy content sage:E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - 3 q^{7} + q^{9} - 4 q^{13} - q^{15} + q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 493680.dy

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
493680.dy1 493680dy1 \([0, 1, 0, 924884, -1691029441]\) \(3086803246205696/45384521484375\) \(-1286423172246093750000\) \([]\) \(23587200\) \(2.7312\) \(\Gamma_0(N)\)-optimal