Properties

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

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Show commands: SageMath
E = EllipticCurve("cb1")
 
E.isogeny_class()
 

Elliptic curves in class 190575cb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
190575.x1 190575cb1 \([1, -1, 1, 11230, -773748]\) \(1082565/2401\) \(-347406079464675\) \([]\) \(506880\) \(1.4743\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 190575cb1 has rank \(0\).

Complex multiplication

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

Modular form 190575.2.a.cb

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