Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 190575m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
190575.i1 190575m1 \([0, 0, 1, -136125, 48872656]\) \(-2985984/9317\) \(-870414284373046875\) \([]\) \(3686400\) \(2.1289\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 190575m1 has rank \(1\).

Complex multiplication

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

Modular form 190575.2.a.m

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