Properties

Label 254898.dg
Number of curves $1$
Conductor $254898$
CM no
Rank $0$

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

Elliptic curves in class 254898.dg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
254898.dg1 254898dg1 \([1, -1, 0, 231062382, 577688517972]\) \(2280364702703/1560674304\) \(-933725929595154057190047744\) \([]\) \(159805440\) \(3.8637\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 254898.dg1 has rank \(0\).

Complex multiplication

The elliptic curves in class 254898.dg do not have complex multiplication.

Modular form 254898.2.a.dg

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