Properties

Label 106722dp
Number of curves $1$
Conductor $106722$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("dp1")
 
E.isogeny_class()
 

Elliptic curves in class 106722dp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
106722.dq1 106722dp1 \([1, -1, 0, -5302908, -4871375888]\) \(-260607143968297/11270993184\) \(-713250207121712841504\) \([]\) \(8064000\) \(2.7671\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 106722dp1 has rank \(0\).

Complex multiplication

The elliptic curves in class 106722dp do not have complex multiplication.

Modular form 106722.2.a.dp

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