Properties

Label 43681a
Number of curves $1$
Conductor $43681$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 43681a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43681.l1 43681a1 \([1, -1, 0, -248, -1303]\) \(9747\) \(173457251\) \([]\) \(12960\) \(0.31651\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43681a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 43681a do not have complex multiplication.

Modular form 43681.2.a.a

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