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Properties

Label 466578r
Number of curves $1$
Conductor $466578$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("r1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 466578r1 has rank \(0\).

Complex multiplication

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

Modular form 466578.2.a.r

Copy content sage:E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 2 q^{5} - q^{8} + 2 q^{10} - 6 q^{11} + 2 q^{13} + q^{16} + 4 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 466578r

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
466578.r1 466578r1 \([1, -1, 0, -403818, -98732684]\) \(-88445874699/65536\) \(-5396145942233088\) \([]\) \(6580224\) \(1.9524\) \(\Gamma_0(N)\)-optimal