Properties

Label 40896by
Number of curves $1$
Conductor $40896$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("by1")
 
E.isogeny_class()
 

Elliptic curves in class 40896by

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40896.br1 40896by1 \([0, 0, 0, -1512684, 713145168]\) \(2003092024307193/9529458688\) \(1821107914945855488\) \([]\) \(870912\) \(2.3531\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40896by1 has rank \(0\).

Complex multiplication

The elliptic curves in class 40896by do not have complex multiplication.

Modular form 40896.2.a.by

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