Properties

Label 190575k
Number of curves $1$
Conductor $190575$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 190575k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
190575.j1 190575k1 \([0, 0, 1, -1340625, -554614844]\) \(28121600000/2250423\) \(21324054555439453125\) \([]\) \(8294400\) \(2.4522\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 190575k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 190575k do not have complex multiplication.

Modular form 190575.2.a.k

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