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Properties

Label 466512.a
Number of curves $1$
Conductor $466512$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("a1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 466512.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 466512.a do not have complex multiplication.

Modular form 466512.2.a.a

Copy content sage:E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{5} + 5 q^{7} + q^{9} + 6 q^{11} - 6 q^{13} + 4 q^{15} - 6 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 466512.a

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
466512.a1 466512a1 \([0, -1, 0, -3845, -80019]\) \(1535202758656/191299077\) \(783561019392\) \([]\) \(2194560\) \(1.0119\) \(\Gamma_0(N)\)-optimal