Properties

Label 444675dq
Number of curves $1$
Conductor $444675$
CM no
Rank $1$

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

Elliptic curves in class 444675dq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
444675.dq1 444675dq1 \([0, -1, 1, -19466883, 106864272668]\) \(-250523582464/1369738755\) \(-4460690803394432018671875\) \([]\) \(55296000\) \(3.4138\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 444675dq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 444675dq do not have complex multiplication.

Modular form 444675.2.a.dq

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} + q^{9} + 2 q^{12} + 4 q^{16} - 3 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display