Properties

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

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 466578k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
466578.k1 466578k1 \([1, -1, 0, -938016, -1228629074]\) \(-352263793/2313846\) \(-599544129943539181926\) \([]\) \(25546752\) \(2.6703\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 466578k1 has rank \(1\).

Complex multiplication

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

Modular form 466578.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3 q^{5} - q^{8} + 3 q^{10} + q^{11} - 6 q^{13} + q^{16} - 2 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display