Properties

Label 43190q
Number of curves $1$
Conductor $43190$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 43190q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43190.h1 43190q1 \([1, -1, 1, -12, 21]\) \(-176558481/43190\) \(-43190\) \([]\) \(7752\) \(-0.39223\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43190q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 43190q do not have complex multiplication.

Modular form 43190.2.a.q

sage: E.q_eigenform(10)
 
\(q + q^{2} - 3 q^{3} + q^{4} + q^{5} - 3 q^{6} + q^{7} + q^{8} + 6 q^{9} + q^{10} - 3 q^{12} + 2 q^{13} + q^{14} - 3 q^{15} + q^{16} + 6 q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display