Properties

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

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 43190.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43190.d1 43190d1 \([1, -1, 0, -469, -5085]\) \(-11422548526761/5081260310\) \(-5081260310\) \([]\) \(21504\) \(0.56935\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43190.d1 has rank \(1\).

Complex multiplication

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

Modular form 43190.2.a.d

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