Properties

Label 161700dg
Number of curves $1$
Conductor $161700$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dg1")
 
E.isogeny_class()
 

Elliptic curves in class 161700dg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
161700.bd1 161700dg1 \([0, -1, 0, -1878, 31977]\) \(-152622848/99\) \(-475398000\) \([]\) \(87552\) \(0.60510\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 161700dg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 161700dg do not have complex multiplication.

Modular form 161700.2.a.dg

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - q^{11} + 3 q^{13} - 2 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display