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Properties

Label 466578e
Number of curves $1$
Conductor $466578$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("e1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 466578e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 466578e do not have complex multiplication.

Modular form 466578.2.a.e

Copy content sage:E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3 q^{5} - q^{8} + 3 q^{10} - 5 q^{11} - 6 q^{13} + q^{16} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 466578e

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
466578.e1 466578e1 \([1, -1, 0, 6249, 207773]\) \(99981/128\) \(-34546868447616\) \([]\) \(1717632\) \(1.2837\) \(\Gamma_0(N)\)-optimal