Properties

Label 43681.e
Number of curves $1$
Conductor $43681$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 43681.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43681.e1 43681e1 \([1, -1, 1, -89596, 9385148]\) \(9747\) \(8160449189133131\) \([]\) \(246240\) \(1.7887\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43681.e1 has rank \(0\).

Complex multiplication

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

Modular form 43681.2.a.e

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