Properties

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

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Show commands: SageMath
E = EllipticCurve("dt1")
 
E.isogeny_class()
 

Elliptic curves in class 190575.dt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
190575.dt1 190575de1 \([1, -1, 0, -7992, -283959]\) \(-148955/7\) \(-2653161328125\) \([]\) \(345600\) \(1.1469\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 190575.dt1 has rank \(0\).

Complex multiplication

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

Modular form 190575.2.a.dt

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