Properties

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

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 190575.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
190575.n1 190575l1 \([0, 0, 1, -49005, -10556494]\) \(-2985984/9317\) \(-40610048851708875\) \([]\) \(2211840\) \(1.8735\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 190575.n1 has rank \(0\).

Complex multiplication

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

Modular form 190575.2.a.n

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