Properties

Label 43190.o
Number of curves $1$
Conductor $43190$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 43190.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43190.o1 43190h1 \([1, 0, 0, 24, -64]\) \(1524845951/2764160\) \(-2764160\) \([]\) \(6832\) \(-0.079213\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43190.o1 has rank \(1\).

Complex multiplication

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

Modular form 43190.2.a.o

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} - q^{7} + q^{8} - 2 q^{9} - q^{10} + 4 q^{11} + q^{12} + q^{13} - q^{14} - q^{15} + q^{16} - 6 q^{17} - 2 q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display