Properties

Label 190575f
Number of curves $1$
Conductor $190575$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 190575f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
190575.p1 190575f1 \([0, 0, 1, -358875, 82749026]\) \(210720960000000/16807\) \(407695382325\) \([]\) \(1105920\) \(1.6733\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 190575f1 has rank \(1\).

Complex multiplication

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

Modular form 190575.2.a.f

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