Properties

Label 185130dx
Number of curves $1$
Conductor $185130$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("dx1")
 
E.isogeny_class()
 

Elliptic curves in class 185130dx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
185130.e1 185130dx1 \([1, -1, 0, -10423469700, 409784133721936]\) \(-72861639994809235116611/36094044206592000\) \(-62043635914727653833343488000\) \([]\) \(392325120\) \(4.4780\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 185130dx1 has rank \(0\).

Complex multiplication

The elliptic curves in class 185130dx do not have complex multiplication.

Modular form 185130.2.a.dx

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - 3 q^{7} - q^{8} + q^{10} - 3 q^{13} + 3 q^{14} + q^{16} - q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display