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Properties

Label 488072n
Number of curves $1$
Conductor $488072$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("n1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 488072n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 488072n do not have complex multiplication.

Modular form 488072.2.a.n

Copy content sage:E.q_eigenform(10)
 
\(q - 2 q^{5} - 2 q^{7} - 3 q^{9} + 6 q^{11} + q^{17} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 488072n

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
488072.n1 488072n1 \([0, 0, 0, 61009, -45207669]\) \(6912/247\) \(-897426016167377008\) \([]\) \(4838400\) \(2.1248\) \(\Gamma_0(N)\)-optimal