Properties

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

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Show commands: SageMath
E = EllipticCurve("dq1")
 
E.isogeny_class()
 

Elliptic curves in class 466578dq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
466578.dq1 466578dq1 \([1, -1, 1, -1197127364, 16021497262439]\) \(-14943832855786297/85501108224\) \(-1085561739817151473161363456\) \([]\) \(316293120\) \(4.0294\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 466578dq1 has rank \(1\).

Complex multiplication

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

Modular form 466578.2.a.dq

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