Properties

Label 187590bc
Number of curves $1$
Conductor $187590$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 187590bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187590.ca1 187590bc1 \([1, 1, 1, 250, -5803]\) \(357911/3330\) \(-16073273970\) \([]\) \(184320\) \(0.63959\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 187590bc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 187590bc do not have complex multiplication.

Modular form 187590.2.a.bc

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} - q^{7} + q^{8} + q^{9} + q^{10} + q^{11} - q^{12} - q^{14} - q^{15} + q^{16} - 7 q^{17} + q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display